56361000960 has 896 divisors, whose sum is σ = 225912395520. Its totient is φ = 13212057600.

The previous prime is 56361000947. The next prime is 56361000973. The reversal of 56361000960 is 6900016365.

56361000960 is a `hidden beast` number, since 5 + 636 + 10 + 0 + 0 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56361000947) and next prime (56361000973).

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 63 ways as a sum of consecutive naturals, for example, 498769864 + ... + 498769976.

It is an arithmetic number, because the mean of its divisors is an integer number (252134370).

Almost surely, 2^56361000960 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 56361000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112956197760).

56361000960 is an abundant number, since it is smaller than the sum of its proper divisors (169551394560).

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

56361000960 is a wasteful number, since it uses less digits than its factorization.

56361000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 56361000960 in words is "fifty-six billion, three hundred sixty-one million, nine hundred sixty", and thus it is an aban number.