55706928076800 has 6912 divisors, whose sum is σ = 287082075571200. Its totient is φ = 10534551552000.

The previous prime is 55706928076769. The next prime is 55706928076897. The reversal of 55706928076800 is 867082960755.

55706928076800 is a `hidden beast` number, since 557 + 0 + 6 + 9 + 2 + 8 + 0 + 76 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 784604620765 + ... + 784604620835.

It is an arithmetic number, because the mean of its divisors is an integer number (41533865100).

Almost surely, 2^{55706928076800} is an apocalyptic number.

55706928076800 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 55706928076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143541037785600).

55706928076800 is an abundant number, since it is smaller than the sum of its proper divisors (231375147494400).

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

55706928076800 is a wasteful number, since it uses less digits than its factorization.

55706928076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 55706928076800 in words is "fifty-five trillion, seven hundred six billion, nine hundred twenty-eight million, seventy-six thousand, eight hundred".