Answer

The number of items you can have checked out at a time depends on your status at NYU, as well as your campus location: 

-NYU New York: Most users can check out up to 200 books at a time. Non-degree students can check out up to 25 books.

-NYU Abu Dhabi: As many as you need!

-NYU Shanghai: As many as you need!

Please note, it's important to keep in mind that books can be recalled by other patrons, and are subject to fines past the new due date.