258901252680 has 256 divisors, whose sum is σ = 939087360000. Its totient is φ = 55780420608.

The previous prime is 258901252679. The next prime is 258901252697. The reversal of 258901252680 is 86252109852.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3135282 + ... + 3216798.

It is an arithmetic number, because the mean of its divisors is an integer number (3668310000).

Almost surely, 2^258901252680 is an apocalyptic number.

258901252680 is a gapful number since it is divisible by the number (20) 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 258901252680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469543680000).

258901252680 is an abundant number, since it is smaller than the sum of its proper divisors (680186107320).

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

258901252680 is a wasteful number, since it uses less digits than its factorization.

258901252680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81756 (or 81752 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 258901252680 in words is "two hundred fifty-eight billion, nine hundred one million, two hundred fifty-two thousand, six hundred eighty".