56950712444160 has 1440 divisors, whose sum is σ = 223292140283520. Its totient is φ = 13802603544576.

The previous prime is 56950712444149. The next prime is 56950712444231. The reversal of 56950712444160 is 6144421705965.

56950712444160 is a `hidden beast` number, since 5 + 6 + 9 + 50 + 71 + 24 + 441 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×56950712444160² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 56950712444097 and 56950712444106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6745312899 + ... + 6745321341.

It is an arithmetic number, because the mean of its divisors is an integer number (155063986308).

Almost surely, 2^{56950712444160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56950712444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111646070141760).

56950712444160 is an abundant number, since it is smaller than the sum of its proper divisors (166341427839360).

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

56950712444160 is a wasteful number, since it uses less digits than its factorization.

56950712444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8625 (or 8602 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 56950712444160 in words is "fifty-six trillion, nine hundred fifty billion, seven hundred twelve million, four hundred forty-four thousand, one hundred sixty".