11751372864 has 1008 divisors, whose sum is σ = 46829959680. Its totient is φ = 2874009600.

The previous prime is 11751372851. The next prime is 11751372929. The reversal of 11751372864 is 46827315711.

11751372864 is a `hidden beast` number, since 1 + 1 + 7 + 513 + 72 + 8 + 64 = 666.

11751372864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 317604654 + ... + 317604690.

Almost surely, 2^11751372864 is an apocalyptic number.

11751372864 is a gapful number since it is divisible by the number (14) 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 11751372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23414979840).

11751372864 is an abundant number, since it is smaller than the sum of its proper divisors (35078586816).

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

11751372864 is a wasteful number, since it uses less digits than its factorization.

11751372864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 91 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The spelling of 11751372864 in words is "eleven billion, seven hundred fifty-one million, three hundred seventy-two thousand, eight hundred sixty-four".