56675813568192 has 672 divisors, whose sum is σ = 202098437259264. Its totient is φ = 14786343936000.

The previous prime is 56675813568167. The next prime is 56675813568251. The reversal of 56675813568192 is 29186531857665.

56675813568192 is a `hidden beast` number, since 5 + 6 + 6 + 7 + 5 + 81 + 356 + 8 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a self number, because there is not a number n which added to its sum of digits gives 56675813568192.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6919274817 + ... + 6919283007.

It is an arithmetic number, because the mean of its divisors is an integer number (300741722112).

Almost surely, 2^{56675813568192} is an apocalyptic number.

56675813568192 is a gapful number since it is divisible by the number (52) 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 56675813568192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101049218629632).

56675813568192 is an abundant number, since it is smaller than the sum of its proper divisors (145422623691072).

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

56675813568192 is a wasteful number, since it uses less digits than its factorization.

56675813568192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9637 (or 9624 counting only the distinct ones).

The product of its digits is 653184000, while the sum is 72.

The spelling of 56675813568192 in words is "fifty-six trillion, six hundred seventy-five billion, eight hundred thirteen million, five hundred sixty-eight thousand, one hundred ninety-two".