11513875968 has 240 divisors, whose sum is σ = 39977857920. Its totient is φ = 3116371968.

The previous prime is 11513875939. The next prime is 11513875993. The reversal of 11513875968 is 86957831511.

It is a happy number.

11513875968 is a `hidden beast` number, since 1 + 15 + 1 + 38 + 7 + 596 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 603471 + ... + 622257.

It is an arithmetic number, because the mean of its divisors is an integer number (166574408).

Almost surely, 2^11513875968 is an apocalyptic number.

11513875968 is a gapful number since it is divisible by the number (18) 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 11513875968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19988928960).

11513875968 is an abundant number, since it is smaller than the sum of its proper divisors (28463981952).

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

11513875968 is a wasteful number, since it uses less digits than its factorization.

11513875968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18837 (or 18818 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 54.

The spelling of 11513875968 in words is "eleven billion, five hundred thirteen million, eight hundred seventy-five thousand, nine hundred sixty-eight".