56065564800 has 2304 divisors, whose sum is σ = 272513808000. Its totient is φ = 11147673600.

The previous prime is 56065564769. The next prime is 56065564811. The reversal of 56065564800 is 846556065.

It is a happy number.

56065564800 is a `hidden beast` number, since 5 + 6 + 0 + 6 + 5 + 564 + 80 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 1367452780 + ... + 1367452820.

Almost surely, 2^56065564800 is an apocalyptic number.

56065564800 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 56065564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136256904000).

56065564800 is an abundant number, since it is smaller than the sum of its proper divisors (216448243200).

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

56065564800 is a wasteful number, since it uses less digits than its factorization.

56065564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

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

The spelling of 56065564800 in words is "fifty-six billion, sixty-five million, five hundred sixty-four thousand, eight hundred".