558815009088 has 448 divisors, whose sum is σ = 1821309235200. Its totient is φ = 147821936640.

The previous prime is 558815009087. The next prime is 558815009113. The reversal of 558815009088 is 880900518855.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (558815009087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94279981 + ... + 94285907.

It is an arithmetic number, because the mean of its divisors is an integer number (4065422400).

Almost surely, 2^558815009088 is an apocalyptic number.

558815009088 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 558815009088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910654617600).

558815009088 is an abundant number, since it is smaller than the sum of its proper divisors (1262494226112).

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

558815009088 is a wasteful number, since it uses less digits than its factorization.

558815009088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6078 (or 6068 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 57.

The spelling of 558815009088 in words is "five hundred fifty-eight billion, eight hundred fifteen million, nine thousand, eighty-eight".