56960236800 has 540 divisors, whose sum is σ = 221730912480. Its totient is φ = 14387466240.

The previous prime is 56960236793. The next prime is 56960236811. The reversal of 56960236800 is 863206965.

It is a happy number.

56960236800 is a `hidden beast` number, since 5 + 6 + 9 + 602 + 36 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 9846709 + ... + 9852491.

Almost surely, 2^56960236800 is an apocalyptic number.

56960236800 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 56960236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110865456240).

56960236800 is an abundant number, since it is smaller than the sum of its proper divisors (164770675680).

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

56960236800 is a wasteful number, since it uses less digits than its factorization.

56960236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840 (or 5812 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 56960236800 in words is "fifty-six billion, nine hundred sixty million, two hundred thirty-six thousand, eight hundred".