558361982976 has 576 divisors, whose sum is σ = 1824800140800. Its totient is φ = 148693843968.

The previous prime is 558361982947. The next prime is 558361983013. The reversal of 558361982976 is 679289163855.

It is a self number, because there is not a number n which added to its sum of digits gives 558361982976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2075694970 + ... + 2075695238.

It is an arithmetic number, because the mean of its divisors is an integer number (3168055800).

Almost surely, 2^558361982976 is an apocalyptic number.

558361982976 is a gapful number since it is divisible by the number (56) 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 558361982976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912400070400).

558361982976 is an abundant number, since it is smaller than the sum of its proper divisors (1266438157824).

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

558361982976 is a wasteful number, since it uses less digits than its factorization.

558361982976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 465 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 69.

The spelling of 558361982976 in words is "five hundred fifty-eight billion, three hundred sixty-one million, nine hundred eighty-two thousand, nine hundred seventy-six".