56755976162160 has 320 divisors, whose sum is σ = 198381548911104. Its totient is φ = 13301886873600.

The previous prime is 56755976162153. The next prime is 56755976162219. The reversal of 56755976162160 is 6126167955765.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 56755976162091 and 56755976162100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13485315 + ... + 17186205.

Almost surely, 2^{56755976162160} 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 56755976162160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99190774455552).

56755976162160 is an abundant number, since it is smaller than the sum of its proper divisors (141625572748944).

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

56755976162160 is a wasteful number, since it uses less digits than its factorization.

56755976162160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701112 (or 3701106 counting only the distinct ones).

The product of its (nonzero) digits is 142884000, while the sum is 66.

The spelling of 56755976162160 in words is "fifty-six trillion, seven hundred fifty-five billion, nine hundred seventy-six million, one hundred sixty-two thousand, one hundred sixty".