56688676761600 has 3744 divisors, whose sum is σ = 251596058696640. Its totient is φ = 12393665003520.

The previous prime is 56688676761533. The next prime is 56688676761679. The reversal of 56688676761600 is 616767688665.

56688676761600 is a `hidden beast` number, since 5 + 6 + 6 + 8 + 8 + 6 + 7 + 6 + 7 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 220578508672 + ... + 220578508928.

Almost surely, 2^{56688676761600} is an apocalyptic number.

56688676761600 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 56688676761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798029348320).

56688676761600 is an abundant number, since it is smaller than the sum of its proper divisors (194907381935040).

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

56688676761600 is a wasteful number, since it uses less digits than its factorization.

56688676761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 56688676761600 in words is "fifty-six trillion, six hundred eighty-eight billion, six hundred seventy-six million, seven hundred sixty-one thousand, six hundred".