559812960 has 576 divisors, whose sum is σ = 2390169600. Its totient is φ = 116453376.

The previous prime is 559812943. The next prime is 559812971. The reversal of 559812960 is 69218955.

559812960 is a `hidden beast` number, since 559 + 8 + 1 + 2 + 96 + 0 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7086201 + ... + 7086279.

It is an arithmetic number, because the mean of its divisors is an integer number (4149600).

Almost surely, 2^559812960 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 559812960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195084800).

559812960 is an abundant number, since it is smaller than the sum of its proper divisors (1830356640).

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

559812960 is a wasteful number, since it uses less digits than its factorization.

559812960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 559812960 is about 23660.3668610611. The cubic root of 559812960 is about 824.1652824570.

The spelling of 559812960 in words is "five hundred fifty-nine million, eight hundred twelve thousand, nine hundred sixty".