56653977600 has 432 divisors, whose sum is σ = 221362628760. Its totient is φ = 13733068800.

The previous prime is 56653977599. The next prime is 56653977607. The reversal of 56653977600 is 677935665.

56653977600 is a `hidden beast` number, since 566 + 5 + 3 + 9 + 7 + 76 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56653977607) 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 35 ways as a sum of consecutive naturals, for example, 5063212 + ... + 5074388.

Almost surely, 2^56653977600 is an apocalyptic number.

56653977600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56653977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110681314380).

56653977600 is an abundant number, since it is smaller than the sum of its proper divisors (164708651160).

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

56653977600 is a wasteful number, since it uses less digits than its factorization.

56653977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11226 (or 11198 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 56653977600 in words is "fifty-six billion, six hundred fifty-three million, nine hundred seventy-seven thousand, six hundred".