558680279040 has 576 divisors, whose sum is σ = 2092720659120. Its totient is φ = 137027911680.

The previous prime is 558680278987. The next prime is 558680279041. The reversal of 558680279040 is 40972086855.

558680279040 is a `hidden beast` number, since 558 + 6 + 80 + 2 + 7 + 9 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 246619505664 + 312060773376 = 496608^2 + 558624^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (558680279041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 422921580 + ... + 422922900.

Almost surely, 2^558680279040 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 558680279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046360329560).

558680279040 is an abundant number, since it is smaller than the sum of its proper divisors (1534040380080).

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

558680279040 is a wasteful number, since it uses less digits than its factorization.

558680279040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 558680279040 in words is "five hundred fifty-eight billion, six hundred eighty million, two hundred seventy-nine thousand, forty".