558080173728 has 480 divisors, whose sum is σ = 2049369759360. Its totient is φ = 144738109440.

The previous prime is 558080173723. The next prime is 558080173757. The reversal of 558080173728 is 827371080855.

558080173728 is a `hidden beast` number, since 5 + 580 + 8 + 0 + 1 + 7 + 37 + 28 = 666.

It is a super-2 number, since 2×558080173728² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (558080173723) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 165453450 + ... + 165456822.

It is an arithmetic number, because the mean of its divisors is an integer number (4269520332).

Almost surely, 2^558080173728 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 558080173728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024684879680).

558080173728 is an abundant number, since it is smaller than the sum of its proper divisors (1491289585632).

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

558080173728 is a wasteful number, since it uses less digits than its factorization.

558080173728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 558080173728 in words is "five hundred fifty-eight billion, eighty million, one hundred seventy-three thousand, seven hundred twenty-eight".