56959921612800 has 2304 divisors, whose sum is σ = 228742297056000. Its totient is φ = 14017403289600.

The previous prime is 56959921612799. The next prime is 56959921612823. The reversal of 56959921612800 is 821612995965.

56959921612800 is a `hidden beast` number, since 5 + 6 + 9 + 5 + 9 + 9 + 2 + 1 + 612 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87228057274 + ... + 87228057926.

It is an arithmetic number, because the mean of its divisors is an integer number (99280510875).

Almost surely, 2^{56959921612800} is an apocalyptic number.

56959921612800 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 56959921612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114371148528000).

56959921612800 is an abundant number, since it is smaller than the sum of its proper divisors (171782375443200).

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

56959921612800 is an equidigital number, since it uses as much as digits as its factorization.

56959921612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 56959921612800 in words is "fifty-six trillion, nine hundred fifty-nine billion, nine hundred twenty-one million, six hundred twelve thousand, eight hundred".