Yup, this should be just a single command imho.

If you're on a Mac, this solution worked for me and took about 5 seconds. 

https://discussions.apple.com/thread/255491972?sortBy=best

Reversing PDF pages on Preview

Sample JavaScript to reverse pages:

// Reverse Page Order
// This script reverses the page order of this document
var numPages = this.numPages; // Get the number of pages
for (var i = numPages - 1; i > 0; i--) { // Loop from the last page location to the second
    this.movePage(0, i); // Move the current first page to its correct location
}

 I add it as a new custom command to the Action Wizard on my Acrobat Pro (though I don't think the Action Wizard is supported yet on the new Acrobat interface)

Hi I just figured thus out - there is a simple way:
Open the file in Acrobat
Extract all pages to a new folder (you get them all sapareted)
Then Open the Merge PDF Files tool in acrobat and choose all the saparated pages

Select them all and with control+click open a menu - and there it is: Reverse Files. and Combine.

Your done!

This didn't work for me.  I got an error message saying "Saving a PDF when printing is not supported.  Instead, choose File > Save," which does not reverse the pages.  

Ahhh....dummy me, my problem was that once I extracted the files into individual files and then used the "combine files" option, I was reorganizing the files into reverse order manually (drag and drop). Once I found that I could right click on any file in the group and then used the "sort by" function and chose "reverse order", before combining the files, life became so much easier!

I tried the "print to PDF" option for a 127 page document (I was formatting a Flip-Over Book). It didn't work for me because my document was A5 size and it kept reformatting it to A4 while it printed to PDF.

      Even when the print dialogue box showed that it was going to print to the A5 size, it still printed the pdf to the A4 size. I tried to change the size in the paper settings but it did not show an A5. I tried to make a custom size using the A5 measurements and then it would only print to .ps format, which would not work for me because I was using southeast asian fonts.

I finally ended up using the extract and then rearrange method, which was a total pain because of the document size.

You can print to "Adobe PDF" with reverse pages.

As of now there is no such option option available. Although you can do this either scripting or Extract all once, rearrange and then combine. I have raised a feature request for you. Same will be consider in future once prioritized.

Thanks.