560085672960 has 528 divisors, whose sum is σ = 2129280229440. Its totient is φ = 134997934080.

The previous prime is 560085672941. The next prime is 560085672973. The reversal of 560085672960 is 69276580065.

It is a happy number.

560085672960 is a `hidden beast` number, since 5 + 600 + 8 + 5 + 6 + 7 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×560085672960² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 560085672897 and 560085672906.

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, 90728434 + ... + 90734606.

Almost surely, 2^560085672960 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 560085672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064640114720).

560085672960 is an abundant number, since it is smaller than the sum of its proper divisors (1569194556480).

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

560085672960 is a wasteful number, since it uses less digits than its factorization.

560085672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6394 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 560085672960 in words is "five hundred sixty billion, eighty-five million, six hundred seventy-two thousand, nine hundred sixty".