563960517120 has 3600 divisors, whose sum is σ = 2892244259520. Its totient is φ = 102478970880.

The previous prime is 563960517089. The next prime is 563960517161. The reversal of 563960517120 is 21715069365.

563960517120 is a `hidden beast` number, since 5 + 6 + 3 + 9 + 6 + 0 + 517 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 29682132471 + ... + 29682132489.

Almost surely, 2^563960517120 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 563960517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446122129760).

563960517120 is an abundant number, since it is smaller than the sum of its proper divisors (2328283742400).

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

563960517120 is a wasteful number, since it uses less digits than its factorization.

563960517120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 563960517120 in words is "five hundred sixty-three billion, nine hundred sixty million, five hundred seventeen thousand, one hundred twenty".