56856691584 has 640 divisors, whose sum is σ = 212558860800. Its totient is φ = 14656204800.

The previous prime is 56856691537. The next prime is 56856691609. The reversal of 56856691584 is 48519665865.

It is a happy number.

56856691584 is a `hidden beast` number, since 5 + 68 + 566 + 9 + 1 + 5 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 182818789 + ... + 182819099.

It is an arithmetic number, because the mean of its divisors is an integer number (332123220).

Almost surely, 2^56856691584 is an apocalyptic number.

56856691584 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 56856691584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106279430400).

56856691584 is an abundant number, since it is smaller than the sum of its proper divisors (155702169216).

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

56856691584 is a wasteful number, since it uses less digits than its factorization.

56856691584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 563 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 63.

The spelling of 56856691584 in words is "fifty-six billion, eight hundred fifty-six million, six hundred ninety-one thousand, five hundred eighty-four".