55934605792800 has 540 divisors, whose sum is σ = 237285931341690. Its totient is φ = 12785052026880.

The previous prime is 55934605792753. The next prime is 55934605792937. The reversal of 55934605792800 is 829750643955.

55934605792800 is a `hidden beast` number, since 5 + 5 + 9 + 3 + 460 + 5 + 7 + 92 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 39344657691024 + 16589948101776 = 6272532^2 + 4073076^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 5632845 + ... + 11983244.

Almost surely, 2^{55934605792800} is an apocalyptic number.

55934605792800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55934605792800 is an abundant number, since it is smaller than the sum of its proper divisors (181351325548890).

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

55934605792800 is a wasteful number, since it uses less digits than its factorization.

55934605792800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17616135 (or 17616106 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 55934605792800 in words is "fifty-five trillion, nine hundred thirty-four billion, six hundred five million, seven hundred ninety-two thousand, eight hundred".