Troubles with downloading Acrobat vs. Acrobat Reader

I'm having problems downloading Acrobat on my computer, where you can edit a PDF. We have three licenses in the company I work for, and the other two can download Acrobat on their computer. When I download Acrobat to my computer, it downloads Acrobat Reader and it also says in Creative Cloud that I need to subscribe to get permission to edit, but I already have that because we have the same licenses.