258631825408 has 192 divisors, whose sum is σ = 572744390400. Its totient is φ = 115784417280.

The previous prime is 258631825367. The next prime is 258631825489. The reversal of 258631825408 is 804528136852.

It is a super-2 number, since 2×258631825408² (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 15 ways as a sum of consecutive naturals, for example, 720422733 + ... + 720423091.

It is an arithmetic number, because the mean of its divisors is an integer number (2983043700).

Almost surely, 2^258631825408 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 258631825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286372195200).

258631825408 is an abundant number, since it is smaller than the sum of its proper divisors (314112564992).

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

258631825408 is a wasteful number, since it uses less digits than its factorization.

258631825408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The spelling of 258631825408 in words is "two hundred fifty-eight billion, six hundred thirty-one million, eight hundred twenty-five thousand, four hundred eight".