558291990896640 has 8064 divisors, whose sum is σ = 2856335923445760. Its totient is φ = 100650115399680.

The previous prime is 558291990896609. The next prime is 558291990896663. The reversal of 558291990896640 is 46698099192855.

558291990896640 is a `hidden beast` number, since 558 + 2 + 9 + 19 + 9 + 0 + 8 + 9 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

It is a self number, because there is not a number n which added to its sum of digits gives 558291990896640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4395999928257 + ... + 4395999928383.

It is an arithmetic number, because the mean of its divisors is an integer number (354208323840).

Almost surely, 2^{558291990896640} 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 558291990896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428167961722880).

558291990896640 is an abundant number, since it is smaller than the sum of its proper divisors (2298043932549120).

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

558291990896640 is a wasteful number, since it uses less digits than its factorization.

558291990896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3023308800, while the sum is 81.

The spelling of 558291990896640 in words is "five hundred fifty-eight trillion, two hundred ninety-one billion, nine hundred ninety million, eight hundred ninety-six thousand, six hundred forty".