558793820160 has 864 divisors, whose sum is σ = 2056499565120. Its totient is φ = 140237733888.

The previous prime is 558793820149. The next prime is 558793820183. The reversal of 558793820160 is 61028397855.

558793820160 is a `hidden beast` number, since 5 + 587 + 9 + 38 + 20 + 1 + 6 + 0 = 666.

558793820160 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 558793820097 and 558793820106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5425182669 + ... + 5425182771.

It is an arithmetic number, because the mean of its divisors is an integer number (2380207830).

Almost surely, 2^558793820160 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 558793820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028249782560).

558793820160 is an abundant number, since it is smaller than the sum of its proper divisors (1497705744960).

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

558793820160 is a wasteful number, since it uses less digits than its factorization.

558793820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 558793820160 in words is "five hundred fifty-eight billion, seven hundred ninety-three million, eight hundred twenty thousand, one hundred sixty".