56164600800 has 576 divisors, whose sum is σ = 253258790400. Its totient is φ = 11670220800.

The previous prime is 56164600787. The next prime is 56164600847. The reversal of 56164600800 is 800646165.

56164600800 is a `hidden beast` number, since 5 + 6 + 1 + 646 + 0 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1646316 + ... + 1680084.

It is an arithmetic number, because the mean of its divisors is an integer number (439685400).

Almost surely, 2^56164600800 is an apocalyptic number.

56164600800 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 56164600800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126629395200).

56164600800 is an abundant number, since it is smaller than the sum of its proper divisors (197094189600).

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

56164600800 is a wasteful number, since it uses less digits than its factorization.

56164600800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33816 (or 33797 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 56164600800 in words is "fifty-six billion, one hundred sixty-four million, six hundred thousand, eight hundred".