55768811212800 has 624 divisors, whose sum is σ = 234141488529280. Its totient is φ = 12747152424960.

The previous prime is 55768811212799. The next prime is 55768811212859. The reversal of 55768811212800 is 821211886755.

It is a happy number.

55768811212800 is a `hidden beast` number, since 557 + 6 + 8 + 8 + 1 + 1 + 2 + 1 + 2 + 80 + 0 = 666.

It is a super-2 number, since 2×55768811212800² (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, 17912814 + ... + 20794386.

Almost surely, 2^{55768811212800} is an apocalyptic number.

55768811212800 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 55768811212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117070744264640).

55768811212800 is an abundant number, since it is smaller than the sum of its proper divisors (178372677316480).

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

55768811212800 is a wasteful number, since it uses less digits than its factorization.

55768811212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881623 (or 2881590 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 54.

The spelling of 55768811212800 in words is "fifty-five trillion, seven hundred sixty-eight billion, eight hundred eleven million, two hundred twelve thousand, eight hundred".