559880305920 has 864 divisors, whose sum is σ = 2171336294400. Its totient is φ = 132291035136.

The previous prime is 559880305903. The next prime is 559880305939. The reversal of 559880305920 is 29503088955.

559880305920 is a `hidden beast` number, since 559 + 8 + 8 + 0 + 30 + 59 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 437747841 + ... + 437749119.

Almost surely, 2^559880305920 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 559880305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085668147200).

559880305920 is an abundant number, since it is smaller than the sum of its proper divisors (1611455988480).

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

559880305920 is a wasteful number, since it uses less digits than its factorization.

559880305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 559880305920 in words is "five hundred fifty-nine billion, eight hundred eighty million, three hundred five thousand, nine hundred twenty".