558535680 has 528 divisors, whose sum is σ = 2207222784. Its totient is φ = 129761280.

The previous prime is 558535633. The next prime is 558535687. The reversal of 558535680 is 86535855.

558535680 is a `hidden beast` number, since 5 + 5 + 85 + 3 + 568 + 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 not an unprimeable number, because it can be changed into a prime (558535687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18017265 + ... + 18017295.

Almost surely, 2^558535680 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 558535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103611392).

558535680 is an abundant number, since it is smaller than the sum of its proper divisors (1648687104).

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

558535680 is a wasteful number, since it uses less digits than its factorization.

558535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

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

The square root of 558535680 is about 23633.3594734223. The cubic root of 558535680 is about 823.5379946925.

The spelling of 558535680 in words is "five hundred fifty-eight million, five hundred thirty-five thousand, six hundred eighty".