56107593864 has 576 divisors, whose sum is σ = 199803240000. Its totient is φ = 14649610752.

The previous prime is 56107593799. The next prime is 56107593877. The reversal of 56107593864 is 46839570165.

56107593864 is a `hidden beast` number, since 561 + 0 + 75 + 9 + 3 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 56107593864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52485522 + ... + 52486590.

It is an arithmetic number, because the mean of its divisors is an integer number (346880625).

Almost surely, 2^56107593864 is an apocalyptic number.

56107593864 is a gapful number since it is divisible by the number (54) 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 56107593864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99901620000).

56107593864 is an abundant number, since it is smaller than the sum of its proper divisors (143695646136).

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

56107593864 is a wasteful number, since it uses less digits than its factorization.

56107593864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 56107593864 in words is "fifty-six billion, one hundred seven million, five hundred ninety-three thousand, eight hundred sixty-four".