258191315316 has 192 divisors, whose sum is σ = 756701568000. Its totient is φ = 75413600640.

The previous prime is 258191315311. The next prime is 258191315339. The reversal of 258191315316 is 613513191852.

258191315316 is a `hidden beast` number, since 2 + 5 + 8 + 19 + 1 + 315 + 316 = 666.

It is a super-2 number, since 2×258191315316² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258191315311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21319735 + ... + 21331841.

It is an arithmetic number, because the mean of its divisors is an integer number (3941154000).

Almost surely, 2^258191315316 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 258191315316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378350784000).

258191315316 is an abundant number, since it is smaller than the sum of its proper divisors (498510252684).

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

258191315316 is a wasteful number, since it uses less digits than its factorization.

258191315316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12779 (or 12771 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The spelling of 258191315316 in words is "two hundred fifty-eight billion, one hundred ninety-one million, three hundred fifteen thousand, three hundred sixteen".