560016616536 has 256 divisors, whose sum is σ = 1692106416000. Its totient is φ = 170589265920.

The previous prime is 560016616513. The next prime is 560016616559. The reversal of 560016616536 is 635616610065.

560016616536 is a `hidden beast` number, since 5 + 600 + 1 + 6 + 6 + 1 + 6 + 5 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (560016616513) and next prime (560016616559).

It is a super-2 number, since 2×560016616536² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 560016616491 and 560016616500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118419420 + ... + 118424148.

Almost surely, 2^560016616536 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 560016616536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846053208000).

560016616536 is an abundant number, since it is smaller than the sum of its proper divisors (1132089799464).

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

560016616536 is a wasteful number, since it uses less digits than its factorization.

560016616536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5171 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 560016616536 in words is "five hundred sixty billion, sixteen million, six hundred sixteen thousand, five hundred thirty-six".