258712352864 has 144 divisors (see below), whose sum is σ = 639580082400. Its totient is φ = 102398478336.

The previous prime is 258712352863. The next prime is 258712352869. The reversal of 258712352864 is 468253217852.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258712352863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 922172 + ... + 1169540.

It is an arithmetic number, because the mean of its divisors is an integer number (4441528350).

Almost surely, 2^258712352864 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 258712352864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319790041200).

258712352864 is an abundant number, since it is smaller than the sum of its proper divisors (380867729536).

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

258712352864 is a wasteful number, since it uses less digits than its factorization.

258712352864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247445 (or 247430 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 53.

The spelling of 258712352864 in words is "two hundred fifty-eight billion, seven hundred twelve million, three hundred fifty-two thousand, eight hundred sixty-four".