258305986560 has 416 divisors, whose sum is σ = 859669695360. Its totient is φ = 66212462592.

The previous prime is 258305986553. The next prime is 258305986573. The reversal of 258305986560 is 65689503852.

It is a self number, because there is not a number n which added to its sum of digits gives 258305986560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3112120279 + ... + 3112120361.

Almost surely, 2^258305986560 is an apocalyptic number.

258305986560 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 258305986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429834847680).

258305986560 is an abundant number, since it is smaller than the sum of its proper divisors (601363708800).

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

258305986560 is an frugal number, since it uses more digits than its factorization.

258305986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 57.

The spelling of 258305986560 in words is "two hundred fifty-eight billion, three hundred five million, nine hundred eighty-six thousand, five hundred sixty".