11538564912 has 160 divisors (see below), whose sum is σ = 37896860160. Its totient is φ = 3292773120.

The previous prime is 11538564899. The next prime is 11538564931. The reversal of 11538564912 is 21946583511.

It is a happy number.

11538564912 is a `hidden beast` number, since 1 + 153 + 8 + 5 + 6 + 491 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3303487 + ... + 3306977.

It is an arithmetic number, because the mean of its divisors is an integer number (236855376).

Almost surely, 2^11538564912 is an apocalyptic number.

11538564912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11538564912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18948430080).

11538564912 is an abundant number, since it is smaller than the sum of its proper divisors (26358295248).

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

11538564912 is a wasteful number, since it uses less digits than its factorization.

11538564912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608 (or 4596 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 11538564912 in words is "eleven billion, five hundred thirty-eight million, five hundred sixty-four thousand, nine hundred twelve".