According to the internet:

Stanford University has 24,916 employees.Jul 11, 2022

That might include grad students? See below from https://facts.stanford.edu/administration/staff/

In 2021 15,750 staff members supported teaching, learning, research and core operations at Stanford ...This includes ... 1,603 staff at SLAC National Accelerator Laboratory .. Includes clinical educator and research staff.

Does that include TAs and faculty?

Yes, and note that the clinical staff who instruct students are also counted in the employee numbers. I can't find a number for Stanford but Yale has 1,729 "continuing" medical faculty: https://www.yale.edu/about-yale/yale-facts I would not be surprised if Stanford had the same or more.

Makes sense: 2300 professors, and then a butler for every student.

Anecdotally I just looked up the number of municipal employees for 2 random towns with populations of about 28,000 people. 1500 employees. I believe that's including teachers, police, etc. not just administrators.

Terrific insight.

Higher ed's admin:student ratios are closer to resort hotels.

My local uni has definitely transformed into a resort.

One of the consequences of charging full enrollment are the customers now expect a comparable (material) experience.