11513500200 has 72 divisors (see below), whose sum is σ = 38666177550. Its totient is φ = 3070266240.

The previous prime is 11513500177. The next prime is 11513500261. The reversal of 11513500200 is 200531511.

11513500200 is a `hidden beast` number, since 115 + 1 + 350 + 0 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9335037924 + 2178462276 = 96618^2 + 46674^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3196395 + ... + 3199994.

Almost surely, 2^11513500200 is an apocalyptic number.

11513500200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11513500200 is an abundant number, since it is smaller than the sum of its proper divisors (27152677350).

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

11513500200 is a wasteful number, since it uses less digits than its factorization.

11513500200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6396411 (or 6396399 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 11513500200 in words is "eleven billion, five hundred thirteen million, five hundred thousand, two hundred".