56569766400 has 1440 divisors, whose sum is σ = 249340291200. Its totient is φ = 11973427200.

The previous prime is 56569766387. The next prime is 56569766419. The reversal of 56569766400 is 466796565.

56569766400 is a `hidden beast` number, since 5 + 6 + 569 + 76 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 958809571 + ... + 958809629.

It is an arithmetic number, because the mean of its divisors is an integer number (173152980).

Almost surely, 2^56569766400 is an apocalyptic number.

56569766400 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 56569766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124670145600).

56569766400 is an abundant number, since it is smaller than the sum of its proper divisors (192770524800).

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

56569766400 is a wasteful number, since it uses less digits than its factorization.

56569766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 146 counting only the distinct ones).

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

The spelling of 56569766400 in words is "fifty-six billion, five hundred sixty-nine million, seven hundred sixty-six thousand, four hundred".