559399680 has 324 divisors, whose sum is σ = 2253730752. Its totient is φ = 127733760.

The previous prime is 559399661. The next prime is 559399693. The reversal of 559399680 is 86993955.

559399680 is a `hidden beast` number, since 559 + 3 + 9 + 9 + 6 + 80 = 666.

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 35 ways as a sum of consecutive naturals, for example, 563985 + ... + 564975.

Almost surely, 2^559399680 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 559399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126865376).

559399680 is an abundant number, since it is smaller than the sum of its proper divisors (1694331072).

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

559399680 is a wasteful number, since it uses less digits than its factorization.

559399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 559399680 is about 23651.6316561881. The cubic root of 559399680 is about 823.9624201292.

The spelling of 559399680 in words is "five hundred fifty-nine million, three hundred ninety-nine thousand, six hundred eighty".