56557388160 has 1280 divisors, whose sum is σ = 262084838400. Its totient is φ = 11287019520.

The previous prime is 56557388113. The next prime is 56557388161. The reversal of 56557388160 is 6188375565.

56557388160 is a `hidden beast` number, since 5 + 6 + 5 + 573 + 8 + 8 + 1 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 56557388097 and 56557388106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56557388161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 89631045 + ... + 89631675.

It is an arithmetic number, because the mean of its divisors is an integer number (204753780).

Almost surely, 2^56557388160 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 56557388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131042419200).

56557388160 is an abundant number, since it is smaller than the sum of its proper divisors (205527450240).

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

56557388160 is a wasteful number, since it uses less digits than its factorization.

56557388160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 56557388160 in words is "fifty-six billion, five hundred fifty-seven million, three hundred eighty-eight thousand, one hundred sixty".