558388648097280 has 7680 divisors, whose sum is σ = 2780692424294400. Its totient is φ = 103298802647040.

The previous prime is 558388648097239. The next prime is 558388648097297. The reversal of 558388648097280 is 82790846883855.

It is a happy number.

558388648097280 is a `hidden beast` number, since 5 + 5 + 8 + 38 + 86 + 480 + 9 + 7 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a self number, because there is not a number n which added to its sum of digits gives 558388648097280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 4396761008577 + ... + 4396761008703.

It is an arithmetic number, because the mean of its divisors is an integer number (362069326080).

Almost surely, 2^{558388648097280} 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 558388648097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390346212147200).

558388648097280 is an abundant number, since it is smaller than the sum of its proper divisors (2222303776197120).

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

558388648097280 is a wasteful number, since it uses less digits than its factorization.

558388648097280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 7431782400, while the sum is 81.

The spelling of 558388648097280 in words is "five hundred fifty-eight trillion, three hundred eighty-eight billion, six hundred forty-eight million, ninety-seven thousand, two hundred eighty".