56971002979800 has 2880 divisors, whose sum is σ = 264075051240000. Its totient is φ = 11309036175360.

The previous prime is 56971002979789. The next prime is 56971002979867. The reversal of 56971002979800 is 897920017965.

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 719 ways as a sum of consecutive naturals, for example, 20876144836 + ... + 20876147564.

It is an arithmetic number, because the mean of its divisors is an integer number (91692726125).

Almost surely, 2^{56971002979800} is an apocalyptic number.

56971002979800 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 56971002979800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132037525620000).

56971002979800 is an abundant number, since it is smaller than the sum of its proper divisors (207104048260200).

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

56971002979800 is a wasteful number, since it uses less digits than its factorization.

56971002979800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 56971002979800 in words is "fifty-six trillion, nine hundred seventy-one billion, two million, nine hundred seventy-nine thousand, eight hundred".