56739571560 has 1152 divisors, whose sum is σ = 240382771200. Its totient is φ = 11522165760.

The previous prime is 56739571531. The next prime is 56739571561. The reversal of 56739571560 is 6517593765.

56739571560 is a `hidden beast` number, since 5 + 6 + 7 + 3 + 9 + 5 + 71 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56739571497 and 56739571506.

It is not an unprimeable number, because it can be changed into a prime (56739571561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 446768217 + ... + 446768343.

It is an arithmetic number, because the mean of its divisors is an integer number (208665600).

Almost surely, 2^56739571560 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 56739571560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120191385600).

56739571560 is an abundant number, since it is smaller than the sum of its proper divisors (183643199640).

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

56739571560 is a wasteful number, since it uses less digits than its factorization.

56739571560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 5953500, while the sum is 54.

The spelling of 56739571560 in words is "fifty-six billion, seven hundred thirty-nine million, five hundred seventy-one thousand, five hundred sixty".