56352317760 has 224 divisors, whose sum is σ = 198998311680. Its totient is φ = 15012182016.

The previous prime is 56352317741. The next prime is 56352317767. The reversal of 56352317760 is 6771325365.

56352317760 is a `hidden beast` number, since 5 + 63 + 523 + 1 + 7 + 7 + 60 = 666.

It is a super-2 number, since 2×56352317760² (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 not an unprimeable number, because it can be changed into a prime (56352317767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10564054 + ... + 10569386.

It is an arithmetic number, because the mean of its divisors is an integer number (888385320).

Almost surely, 2^56352317760 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 56352317760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99499155840).

56352317760 is an abundant number, since it is smaller than the sum of its proper divisors (142645993920).

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

56352317760 is a wasteful number, since it uses less digits than its factorization.

56352317760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6582 (or 6566 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 56352317760 in words is "fifty-six billion, three hundred fifty-two million, three hundred seventeen thousand, seven hundred sixty".