558345807360 has 1440 divisors, whose sum is σ = 2282133934080. Its totient is φ = 125690019840.

The previous prime is 558345807359. The next prime is 558345807367. The reversal of 558345807360 is 63708543855.

558345807360 is a `hidden beast` number, since 5 + 58 + 3 + 4 + 580 + 7 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 558345807297 and 558345807306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (558345807367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4396423617 + ... + 4396423743.

It is an arithmetic number, because the mean of its divisors is an integer number (1584815232).

Almost surely, 2^558345807360 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 558345807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141066967040).

558345807360 is an abundant number, since it is smaller than the sum of its proper divisors (1723788126720).

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

558345807360 is a wasteful number, since it uses less digits than its factorization.

558345807360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 558345807360 in words is "five hundred fifty-eight billion, three hundred forty-five million, eight hundred seven thousand, three hundred sixty".