56585941632 has 320 divisors, whose sum is σ = 185464715040. Its totient is φ = 16983336960.

The previous prime is 56585941627. The next prime is 56585941637. The reversal of 56585941632 is 23614958565.

56585941632 is a `hidden beast` number, since 5 + 6 + 5 + 8 + 594 + 16 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (56585941627) and next prime (56585941637).

It is a super-2 number, since 2×56585941632² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (56585941637) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12200818 + ... + 12205454.

Almost surely, 2^56585941632 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 56585941632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92732357520).

56585941632 is an abundant number, since it is smaller than the sum of its proper divisors (128878773408).

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

56585941632 is a wasteful number, since it uses less digits than its factorization.

56585941632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4781 (or 4760 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 56585941632 in words is "fifty-six billion, five hundred eighty-five million, nine hundred forty-one thousand, six hundred thirty-two".