This area might be referred to as the data centre, or server (room).
A server room stores, powers and operates all the computers in a network (or division/building etc.) - as well as any associated components.
Servers are usually kept in a separate room or cupboards/racks in order to increase security, but also to manage environmental requirements (fans used to cool servers can be noisy). Fire protection and server redundancy are also concerns.
Servers tend to consist of basic cpu components with little/no graphical interfaces. This increases the efficiency of the server, but also limits access to the virtual components to people with sufficient knowledge. The physical outlay of servers is often overwhelming to non-information technology experts.
Data centres may be made up of several server rooms, each with a dedicated task or function.