559005258240 has 480 divisors, whose sum is σ = 2274466049856. Its totient is φ = 125091348480.

The previous prime is 559005258167. The next prime is 559005258263. The reversal of 559005258240 is 42852500955.

559005258240 is a `hidden beast` number, since 5 + 5 + 9 + 0 + 0 + 525 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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, 3209887 + ... + 3379553.

Almost surely, 2^559005258240 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 559005258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137233024928).

559005258240 is an abundant number, since it is smaller than the sum of its proper divisors (1715460791616).

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

559005258240 is a wasteful number, since it uses less digits than its factorization.

559005258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169720 (or 169701 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 559005258240 in words is "five hundred fifty-nine billion, five million, two hundred fifty-eight thousand, two hundred forty".