56559613468800 has 1536 divisors, whose sum is σ = 217410942309120. Its totient is φ = 12799369543680.

The previous prime is 56559613468777. The next prime is 56559613468807. The reversal of 56559613468800 is 886431695565.

It is not an unprimeable number, because it can be changed into a prime (56559613468807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16571815894 + ... + 16571819306.

Almost surely, 2^{56559613468800} is an apocalyptic number.

56559613468800 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 56559613468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108705471154560).

56559613468800 is an abundant number, since it is smaller than the sum of its proper divisors (160851328840320).

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

56559613468800 is a wasteful number, since it uses less digits than its factorization.

56559613468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 66.

The spelling of 56559613468800 in words is "fifty-six trillion, five hundred fifty-nine billion, six hundred thirteen million, four hundred sixty-eight thousand, eight hundred".