13751572968 has 192 divisors, whose sum is σ = 44331955200. Its totient is φ = 3768145920.

The previous prime is 13751572853. The next prime is 13751572987. The reversal of 13751572968 is 86927515731.

13751572968 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 1 + 572 + 9 + 68 = 666.

13751572968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 1761618 + ... + 1769406.

It is an arithmetic number, because the mean of its divisors is an integer number (230895600).

Almost surely, 2^13751572968 is an apocalyptic number.

13751572968 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 13751572968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22165977600).

13751572968 is an abundant number, since it is smaller than the sum of its proper divisors (30580382232).

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

13751572968 is a wasteful number, since it uses less digits than its factorization.

13751572968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7952 (or 7945 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The spelling of 13751572968 in words is "thirteen billion, seven hundred fifty-one million, five hundred seventy-two thousand, nine hundred sixty-eight".