11201516672 has 128 divisors (see below), whose sum is σ = 23895907200. Its totient is φ = 5218836480.

The previous prime is 11201516629. The next prime is 11201516717. The reversal of 11201516672 is 27661510211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21499772 + ... + 21500292.

It is an arithmetic number, because the mean of its divisors is an integer number (186686775).

Almost surely, 2^11201516672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11947953600).

11201516672 is an abundant number, since it is smaller than the sum of its proper divisors (12694390528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11201516672 is a wasteful number, since it uses less digits than its factorization.

11201516672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The spelling of 11201516672 in words is "eleven billion, two hundred one million, five hundred sixteen thousand, six hundred seventy-two".