56585987053056 has 240 divisors, whose sum is σ = 168974554422960. Its totient is φ = 18208116326400.

The previous prime is 56585987053051. The next prime is 56585987053067. The reversal of 56585987053056 is 65035078958565.

It is a happy number.

56585987053056 is a `hidden beast` number, since 5 + 6 + 5 + 8 + 5 + 9 + 87 + 0 + 530 + 5 + 6 = 666.

It is a super-3 number, since 3×56585987053056³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56585987053051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755116966 + ... + 755191898.

It is an arithmetic number, because the mean of its divisors is an integer number (704060643429).

Almost surely, 2^{56585987053056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56585987053056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84487277211480).

56585987053056 is an abundant number, since it is smaller than the sum of its proper divisors (112388567369904).

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

56585987053056 is a wasteful number, since it uses less digits than its factorization.

56585987053056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80637 (or 80618 counting only the distinct ones).

The product of its (nonzero) digits is 1360800000, while the sum is 72.

The spelling of 56585987053056 in words is "fifty-six trillion, five hundred eighty-five billion, nine hundred eighty-seven million, fifty-three thousand, fifty-six".