56584242607104 has 110 divisors (see below), whose sum is σ = 168971611197554. Its totient is φ = 18861414174720.

The previous prime is 56584242607093. The next prime is 56584242607223. The reversal of 56584242607104 is 40170624248565.

56584242607104 is a `hidden beast` number, since 5 + 6 + 5 + 8 + 4 + 24 + 2 + 607 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39255738393600 + 17328504213504 = 6265440^2 + 4162752^2 .

It is a super-2 number, since 2×56584242607104² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 341016127 + ... + 341182014.

Almost surely, 2^{56584242607104} is an apocalyptic number.

56584242607104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56584242607104 is an abundant number, since it is smaller than the sum of its proper divisors (112387368590450).

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

56584242607104 is an equidigital number, since it uses as much as digits as its factorization.

56584242607104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682198173 (or 682198146 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 56584242607104 in words is "fifty-six trillion, five hundred eighty-four billion, two hundred forty-two million, six hundred seven thousand, one hundred four".