560233548864 has 336 divisors, whose sum is σ = 1864745064000. Its totient is φ = 159022448640.

The previous prime is 560233548841. The next prime is 560233548877. The reversal of 560233548864 is 468845332065.

560233548864 is a `hidden beast` number, since 5 + 6 + 0 + 2 + 33 + 548 + 8 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 560233548864.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10688032 + ... + 10740320.

It is an arithmetic number, because the mean of its divisors is an integer number (5549836500).

Almost surely, 2^560233548864 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 560233548864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932372532000).

560233548864 is an abundant number, since it is smaller than the sum of its proper divisors (1304511515136).

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

560233548864 is a wasteful number, since it uses less digits than its factorization.

560233548864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52426 (or 52413 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 560233548864 in words is "five hundred sixty billion, two hundred thirty-three million, five hundred forty-eight thousand, eight hundred sixty-four".