56346903360 has 672 divisors, whose sum is σ = 221484212352. Its totient is φ = 13025525760.

The previous prime is 56346903341. The next prime is 56346903383. The reversal of 56346903360 is 6330964365.

56346903360 is a `hidden beast` number, since 5 + 634 + 6 + 9 + 0 + 3 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×56346903360² (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 62124027 + ... + 62124933.

Almost surely, 2^56346903360 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 56346903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110742106176).

56346903360 is an abundant number, since it is smaller than the sum of its proper divisors (165137308992).

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

56346903360 is a wasteful number, since it uses less digits than its factorization.

56346903360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 56346903360 in words is "fifty-six billion, three hundred forty-six million, nine hundred three thousand, three hundred sixty".