560052825696 has 960 divisors, whose sum is σ = 2114632396800. Its totient is φ = 144423336960.

The previous prime is 560052825679. The next prime is 560052825701. The reversal of 560052825696 is 696528250065.

560052825696 is a `hidden beast` number, since 5 + 6 + 0 + 0 + 528 + 25 + 6 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 543212701 + ... + 543213731.

It is an arithmetic number, because the mean of its divisors is an integer number (2202742080).

Almost surely, 2^560052825696 is an apocalyptic number.

560052825696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560052825696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057316198400).

560052825696 is an abundant number, since it is smaller than the sum of its proper divisors (1554579571104).

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

560052825696 is a wasteful number, since it uses less digits than its factorization.

560052825696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 560052825696 in words is "five hundred sixty billion, fifty-two million, eight hundred twenty-five thousand, six hundred ninety-six".