56056568400 has 1800 divisors, whose sum is σ = 259606169856. Its totient is φ = 11496038400.

The previous prime is 56056568389. The next prime is 56056568419. The reversal of 56056568400 is 486565065.

It is a happy number.

56056568400 is a `hidden beast` number, since 5 + 6 + 0 + 565 + 6 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 836665167 + ... + 836665233.

Almost surely, 2^56056568400 is an apocalyptic number.

56056568400 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 56056568400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129803084928).

56056568400 is an abundant number, since it is smaller than the sum of its proper divisors (203549601456).

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

56056568400 is a wasteful number, since it uses less digits than its factorization.

56056568400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 56056568400 in words is "fifty-six billion, fifty-six million, five hundred sixty-eight thousand, four hundred".