11506797216 has 36 divisors (see below), whose sum is σ = 32722455402. Its totient is φ = 3835598976.

The previous prime is 11506797187. The next prime is 11506797221. The reversal of 11506797216 is 61279760511.

11506797216 is a `hidden beast` number, since 1 + 1 + 506 + 79 + 72 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8884947600 + 2621849616 = 94260^2 + 51204^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19976791 + ... + 19977366.

Almost surely, 2^11506797216 is an apocalyptic number.

11506797216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11506797216 is an abundant number, since it is smaller than the sum of its proper divisors (21215658186).

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

11506797216 is a wasteful number, since it uses less digits than its factorization.

11506797216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39954173 (or 39954162 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 11506797216 in words is "eleven billion, five hundred six million, seven hundred ninety-seven thousand, two hundred sixteen".