56558182968 has 288 divisors, whose sum is σ = 188140492800. Its totient is φ = 15262079616.

The previous prime is 56558182927. The next prime is 56558182981. The reversal of 56558182968 is 86928185565.

56558182968 is a `hidden beast` number, since 5 + 6 + 558 + 18 + 2 + 9 + 68 = 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 71 ways as a sum of consecutive naturals, for example, 25672155 + ... + 25674357.

It is an arithmetic number, because the mean of its divisors is an integer number (653265600).

Almost surely, 2^56558182968 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 56558182968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94070246400).

56558182968 is an abundant number, since it is smaller than the sum of its proper divisors (131582309832).

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

56558182968 is a wasteful number, since it uses less digits than its factorization.

56558182968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2617 counting only the distinct ones).

The product of its digits is 41472000, while the sum is 63.

The spelling of 56558182968 in words is "fifty-six billion, five hundred fifty-eight million, one hundred eighty-two thousand, nine hundred sixty-eight".