258447813875328 has 256 divisors, whose sum is σ = 855964541076480. Its totient is φ = 67124130816000.

The previous prime is 258447813875327. The next prime is 258447813875369. The reversal of 258447813875328 is 823578318744852.

It is a self number, because there is not a number n which added to its sum of digits gives 258447813875328.

It is not an unprimeable number, because it can be changed into a prime (258447813875327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391179823 + ... + 391839953.

It is an arithmetic number, because the mean of its divisors is an integer number (3343611488580).

Almost surely, 2^{258447813875328} is an apocalyptic number.

258447813875328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258447813875328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427982270538240).

258447813875328 is an abundant number, since it is smaller than the sum of its proper divisors (597516727201152).

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

258447813875328 is a wasteful number, since it uses less digits than its factorization.

258447813875328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673407 (or 673395 counting only the distinct ones).

The product of its digits is 2890137600, while the sum is 75.

The spelling of 258447813875328 in words is "two hundred fifty-eight trillion, four hundred forty-seven billion, eight hundred thirteen million, eight hundred seventy-five thousand, three hundred twenty-eight".