56110081484160 has 3072 divisors, whose sum is σ = 240868523750400. Its totient is φ = 12327840645120.

The previous prime is 56110081484153. The next prime is 56110081484221. The reversal of 56110081484160 is 6148418001165.

56110081484160 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 0 + 0 + 8 + 1 + 484 + 160 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 90940164172 + ... + 90940164788.

It is an arithmetic number, because the mean of its divisors is an integer number (78407722575).

Almost surely, 2^{56110081484160} 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 56110081484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120434261875200).

56110081484160 is an abundant number, since it is smaller than the sum of its proper divisors (184758442266240).

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

56110081484160 is a wasteful number, since it uses less digits than its factorization.

56110081484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 56110081484160 in words is "fifty-six trillion, one hundred ten billion, eighty-one million, four hundred eighty-four thousand, one hundred sixty".