15075625756968 has 192 divisors, whose sum is σ = 47085335256960. Its totient is φ = 4268466989568.

The previous prime is 15075625756949. The next prime is 15075625757069. The reversal of 15075625756968 is 86965752657051.

15075625756968 is a `hidden beast` number, since 1 + 5 + 0 + 7 + 5 + 6 + 2 + 57 + 569 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 15075625756896 and 15075625756905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26486346 + ... + 27049542.

It is an arithmetic number, because the mean of its divisors is an integer number (245236121130).

Almost surely, 2^{15075625756968} is an apocalyptic number.

15075625756968 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 15075625756968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23542667628480).

15075625756968 is an abundant number, since it is smaller than the sum of its proper divisors (32009709499992).

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

15075625756968 is a wasteful number, since it uses less digits than its factorization.

15075625756968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563696 (or 563689 counting only the distinct ones).

The product of its (nonzero) digits is 952560000, while the sum is 72.

The spelling of 15075625756968 in words is "fifteen trillion, seventy-five billion, six hundred twenty-five million, seven hundred fifty-six thousand, nine hundred sixty-eight".