56603985796800 has 2016 divisors, whose sum is σ = 243323229888000. Its totient is φ = 12743881113600.

The previous prime is 56603985796751. The next prime is 56603985796849. The reversal of 56603985796800 is 869758930665.

56603985796800 is a `hidden beast` number, since 5 + 6 + 603 + 9 + 8 + 5 + 7 + 9 + 6 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56603985796751) and next prime (56603985796849).

It is a super-2 number, since 2×56603985796800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 4022733765 + ... + 4022747835.

Almost surely, 2^{56603985796800} is an apocalyptic number.

56603985796800 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 56603985796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121661614944000).

56603985796800 is an abundant number, since it is smaller than the sum of its proper divisors (186719244091200).

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

56603985796800 is a wasteful number, since it uses less digits than its factorization.

56603985796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14176 (or 14142 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 56603985796800 in words is "fifty-six trillion, six hundred three billion, nine hundred eighty-five million, seven hundred ninety-six thousand, eight hundred".