56340892800 has 576 divisors, whose sum is σ = 207766166400. Its totient is φ = 14529699840.

The previous prime is 56340892763. The next prime is 56340892819. The reversal of 56340892800 is 829804365.

56340892800 is a `hidden beast` number, since 5 + 634 + 0 + 8 + 9 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144835006 + ... + 144835394.

It is an arithmetic number, because the mean of its divisors is an integer number (360705150).

Almost surely, 2^56340892800 is an apocalyptic number.

56340892800 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 56340892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103883083200).

56340892800 is an abundant number, since it is smaller than the sum of its proper divisors (151425273600).

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

56340892800 is a wasteful number, since it uses less digits than its factorization.

56340892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 56340892800 in words is "fifty-six billion, three hundred forty million, eight hundred ninety-two thousand, eight hundred".