56958220800 has 720 divisors, whose sum is σ = 222951777048. Its totient is φ = 13801881600.

The previous prime is 56958220651. The next prime is 56958220819. The reversal of 56958220800 is 802285965.

56958220800 is a `hidden beast` number, since 5 + 69 + 582 + 2 + 0 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 24443136 + 56933777664 = 4944^2 + 238608^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109324540 + ... + 109325060.

Almost surely, 2^56958220800 is an apocalyptic number.

56958220800 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 56958220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111475888524).

56958220800 is an abundant number, since it is smaller than the sum of its proper divisors (165993556248).

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

56958220800 is a wasteful number, since it uses less digits than its factorization.

56958220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 56958220800 in words is "fifty-six billion, nine hundred fifty-eight million, two hundred twenty thousand, eight hundred".