258465991680 has 1056 divisors, whose sum is σ = 1004286366720. Its totient is φ = 61064478720.

The previous prime is 258465991673. The next prime is 258465991681. The reversal of 258465991680 is 86199564852.

258465991680 is a `hidden beast` number, since 2 + 5 + 8 + 465 + 9 + 9 + 168 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (258465991681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2509378509 + ... + 2509378611.

Almost surely, 2^258465991680 is an apocalyptic number.

258465991680 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 258465991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502143183360).

258465991680 is an abundant number, since it is smaller than the sum of its proper divisors (745820375040).

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

258465991680 is a wasteful number, since it uses less digits than its factorization.

258465991680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 258465991680 in words is "two hundred fifty-eight billion, four hundred sixty-five million, nine hundred ninety-one thousand, six hundred eighty".