559697916960 has 1536 divisors, whose sum is σ = 2584257177600. Its totient is φ = 109778042880.

The previous prime is 559697916931. The next prime is 559697917001. The reversal of 559697916960 is 69619796955.

559697916960 is a `hidden beast` number, since 559 + 6 + 9 + 7 + 9 + 1 + 6 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 594790090 + ... + 594791030.

It is an arithmetic number, because the mean of its divisors is an integer number (1682459100).

Almost surely, 2^559697916960 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 559697916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292128588800).

559697916960 is an abundant number, since it is smaller than the sum of its proper divisors (2024559260640).

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

559697916960 is a wasteful number, since it uses less digits than its factorization.

559697916960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 248005800, while the sum is 72.

The spelling of 559697916960 in words is "five hundred fifty-nine billion, six hundred ninety-seven million, nine hundred sixteen thousand, nine hundred sixty".