56656512640 has 384 divisors, whose sum is σ = 175190238720. Its totient is φ = 17348567040.

The previous prime is 56656512613. The next prime is 56656512641. The reversal of 56656512640 is 4621565665.

It is not an unprimeable number, because it can be changed into a prime (56656512641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12635839 + ... + 12640321.

It is an arithmetic number, because the mean of its divisors is an integer number (456224580).

Almost surely, 2^56656512640 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 56656512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87595119360).

56656512640 is an abundant number, since it is smaller than the sum of its proper divisors (118533726080).

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

56656512640 is a wasteful number, since it uses less digits than its factorization.

56656512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560 (or 4541 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 46.

The spelling of 56656512640 in words is "fifty-six billion, six hundred fifty-six million, five hundred twelve thousand, six hundred forty".