56547635760 has 960 divisors, whose sum is σ = 252417844224. Its totient is φ = 11421388800.

The previous prime is 56547635759. The next prime is 56547635761. The reversal of 56547635760 is 6753674565.

56547635760 is a `hidden beast` number, since 5 + 6 + 5 + 4 + 7 + 63 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56547635759) and next prime (56547635761).

It is a super-2 number, since 2×56547635760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56547635697 and 56547635706.

It is not an unprimeable number, because it can be changed into a prime (56547635761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55384050 + ... + 55385070.

Almost surely, 2^56547635760 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 56547635760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126208922112).

56547635760 is an abundant number, since it is smaller than the sum of its proper divisors (195870208464).

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

56547635760 is a wasteful number, since it uses less digits than its factorization.

56547635760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 56547635760 in words is "fifty-six billion, five hundred forty-seven million, six hundred thirty-five thousand, seven hundred sixty".