559198080 has 640 divisors, whose sum is σ = 2417057280. Its totient is φ = 120434688.

The previous prime is 559198067. The next prime is 559198111. The reversal of 559198080 is 80891955.

559198080 is a `hidden beast` number, since 559 + 1 + 98 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8346207 + ... + 8346273.

It is an arithmetic number, because the mean of its divisors is an integer number (3776652).

Almost surely, 2^559198080 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 559198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208528640).

559198080 is an abundant number, since it is smaller than the sum of its proper divisors (1857859200).

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

559198080 is a wasteful number, since it uses less digits than its factorization.

559198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The square root of 559198080 is about 23647.3694097250. The cubic root of 559198080 is about 823.8634266376.

The spelling of 559198080 in words is "five hundred fifty-nine million, one hundred ninety-eight thousand, eighty".