56146250160 has 1440 divisors, whose sum is σ = 266742927360. Its totient is φ = 10392883200.

The previous prime is 56146250141. The next prime is 56146250201. The reversal of 56146250160 is 6105264165.

56146250160 is a `hidden beast` number, since 5 + 6 + 14 + 625 + 0 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 156396061 + ... + 156396419.

It is an arithmetic number, because the mean of its divisors is an integer number (185238144).

Almost surely, 2^56146250160 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 56146250160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133371463680).

56146250160 is an abundant number, since it is smaller than the sum of its proper divisors (210596677200).

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

56146250160 is a wasteful number, since it uses less digits than its factorization.

56146250160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 56146250160 in words is "fifty-six billion, one hundred forty-six million, two hundred fifty thousand, one hundred sixty".