56565065318400 has 1056 divisors, whose sum is σ = 214694626521600. Its totient is φ = 14586111590400.

The previous prime is 56565065318353. The next prime is 56565065318453. The reversal of 56565065318400 is 481356056565.

56565065318400 is a `hidden beast` number, since 5 + 6 + 5 + 6 + 506 + 53 + 1 + 84 + 0 + 0 = 666.

It is a super-2 number, since 2×56565065318400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43882904956 + ... + 43882906244.

Almost surely, 2^{56565065318400} is an apocalyptic number.

56565065318400 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 56565065318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107347313260800).

56565065318400 is an abundant number, since it is smaller than the sum of its proper divisors (158129561203200).

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

56565065318400 is an frugal number, since it uses more digits than its factorization.

56565065318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 56565065318400 in words is "fifty-six trillion, five hundred sixty-five billion, sixty-five million, three hundred eighteen thousand, four hundred".