56883835008000 has 8448 divisors, whose sum is σ = 300899646028800. Its totient is φ = 10534551552000.

The previous prime is 56883835007977. The next prime is 56883835008019. The reversal of 56883835008000 is 80053838865.

56883835008000 is a `hidden beast` number, since 56 + 8 + 8 + 3 + 8 + 3 + 500 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1961511551986 + ... + 1961511552014.

Almost surely, 2^{56883835008000} is an apocalyptic number.

56883835008000 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 56883835008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150449823014400).

56883835008000 is an abundant number, since it is smaller than the sum of its proper divisors (244015811020800).

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

56883835008000 is a wasteful number, since it uses less digits than its factorization.

56883835008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 56883835008000 in words is "fifty-six trillion, eight hundred eighty-three billion, eight hundred thirty-five million, eight thousand".