258189728958 has 240 divisors, whose sum is σ = 704637798480. Its totient is φ = 70361415936.

The previous prime is 258189728933. The next prime is 258189728981. The reversal of 258189728958 is 859827981852.

258189728958 is a `hidden beast` number, since 258 + 1 + 8 + 97 + 289 + 5 + 8 = 666.

It is a super-2 number, since 2×258189728958² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19100010 + ... + 19113522.

It is an arithmetic number, because the mean of its divisors is an integer number (2935990827).

Almost surely, 2^258189728958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258189728958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352318899240).

258189728958 is an abundant number, since it is smaller than the sum of its proper divisors (446448069522).

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

258189728958 is a wasteful number, since it uses less digits than its factorization.

258189728958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13653 (or 13637 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 72.

The spelling of 258189728958 in words is "two hundred fifty-eight billion, one hundred eighty-nine million, seven hundred twenty-eight thousand, nine hundred fifty-eight".