56696457600 has 384 divisors, whose sum is σ = 209167564800. Its totient is φ = 14997104640.

The previous prime is 56696457553. The next prime is 56696457607. The reversal of 56696457600 is 675469665.

56696457600 is a `hidden beast` number, since 5 + 6 + 6 + 9 + 64 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56696457607) 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, 10970217 + ... + 10975383.

It is an arithmetic number, because the mean of its divisors is an integer number (544707200).

Almost surely, 2^56696457600 is an apocalyptic number.

56696457600 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 56696457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104583782400).

56696457600 is an abundant number, since it is smaller than the sum of its proper divisors (152471107200).

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

56696457600 is a wasteful number, since it uses less digits than its factorization.

56696457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327 (or 5304 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 56696457600 in words is "fifty-six billion, six hundred ninety-six million, four hundred fifty-seven thousand, six hundred".