559560960 has 432 divisors, whose sum is σ = 2303473536. Its totient is φ = 127401984.

The previous prime is 559560949. The next prime is 559560973. The reversal of 559560960 is 69065955.

559560960 is a `hidden beast` number, since 559 + 5 + 6 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×559560960² = 626216935912243200, which contains 22 as substring.

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

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, 2177152 + ... + 2177408.

Almost surely, 2^559560960 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 559560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151736768).

559560960 is an abundant number, since it is smaller than the sum of its proper divisors (1743912576).

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

559560960 is an equidigital number, since it uses as much as digits as its factorization.

559560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The square root of 559560960 is about 23655.0409004085. The cubic root of 559560960 is about 824.0415977994.

The spelling of 559560960 in words is "five hundred fifty-nine million, five hundred sixty thousand, nine hundred sixty".