258930106368 has 224 divisors, whose sum is σ = 710402005152. Its totient is φ = 83833651200.

The previous prime is 258930106363. The next prime is 258930106373. The reversal of 258930106368 is 863601039852.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (258930106363) and next prime (258930106373).

It is a self number, because there is not a number n which added to its sum of digits gives 258930106368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258930106361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315383398 + ... + 315384218.

It is an arithmetic number, because the mean of its divisors is an integer number (3171437523).

Almost surely, 2^258930106368 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 258930106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355201002576).

258930106368 is an abundant number, since it is smaller than the sum of its proper divisors (451471898784).

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

258930106368 is an equidigital number, since it uses as much as digits as its factorization.

258930106368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 258930106368 in words is "two hundred fifty-eight billion, nine hundred thirty million, one hundred six thousand, three hundred sixty-eight".