56657242152 has 320 divisors, whose sum is σ = 185497905600. Its totient is φ = 16020789120.

The previous prime is 56657242151. The next prime is 56657242183. The reversal of 56657242152 is 25124275665.

56657242152 is a `hidden beast` number, since 5 + 6 + 6 + 572 + 4 + 21 + 52 = 666.

It is a super-2 number, since 2×56657242152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56657242098 and 56657242107.

It is not an unprimeable number, because it can be changed into a prime (56657242151) 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 79 ways as a sum of consecutive naturals, for example, 55491402 + ... + 55492422.

It is an arithmetic number, because the mean of its divisors is an integer number (579680955).

Almost surely, 2^56657242152 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 56657242152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92748952800).

56657242152 is an abundant number, since it is smaller than the sum of its proper divisors (128840663448).

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

56657242152 is a wasteful number, since it uses less digits than its factorization.

56657242152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1140 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 56657242152 in words is "fifty-six billion, six hundred fifty-seven million, two hundred forty-two thousand, one hundred fifty-two".