56164348800 has 432 divisors, whose sum is σ = 233132679000. Its totient is φ = 12837242880.

The previous prime is 56164348787. The next prime is 56164348817. The reversal of 56164348800 is 884346165.

56164348800 is a `hidden beast` number, since 5 + 6 + 164 + 3 + 488 + 0 + 0 = 666.

56164348800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56164348800² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1391301 + ... + 1431099.

Almost surely, 2^56164348800 is an apocalyptic number.

56164348800 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 56164348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116566339500).

56164348800 is an abundant number, since it is smaller than the sum of its proper divisors (176968330200).

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

56164348800 is a wasteful number, since it uses less digits than its factorization.

56164348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39843 (or 39816 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 56164348800 in words is "fifty-six billion, one hundred sixty-four million, three hundred forty-eight thousand, eight hundred".