558141973920 has 384 divisors, whose sum is σ = 1993334676480. Its totient is φ = 145811128320.

The previous prime is 558141973901. The next prime is 558141973933. The reversal of 558141973920 is 29379141855.

It is a happy number.

558141973920 is a `hidden beast` number, since 5 + 58 + 14 + 197 + 392 + 0 = 666.

It is a Cunningham number, because it is equal to 747089²-1.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201712377 + ... + 201715143.

It is an arithmetic number, because the mean of its divisors is an integer number (5190975720).

Almost surely, 2^558141973920 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 558141973920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996667338240).

558141973920 is an abundant number, since it is smaller than the sum of its proper divisors (1435192702560).

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

558141973920 is a wasteful number, since it uses less digits than its factorization.

558141973920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 558141973920 in words is "five hundred fifty-eight billion, one hundred forty-one million, nine hundred seventy-three thousand, nine hundred twenty".