258465841920 has 1512 divisors, whose sum is σ = 1103864857200. Its totient is φ = 57450332160.

The previous prime is 258465841819. The next prime is 258465841957. The reversal of 258465841920 is 29148564852.

258465841920 is a `hidden beast` number, since 2 + 5 + 8 + 46 + 584 + 19 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1734670006 + ... + 1734670154.

It is an arithmetic number, because the mean of its divisors is an integer number (730069350).

Almost surely, 2^258465841920 is an apocalyptic number.

258465841920 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 258465841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551932428600).

258465841920 is an abundant number, since it is smaller than the sum of its proper divisors (845399015280).

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

258465841920 is a wasteful number, since it uses less digits than its factorization.

258465841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 258465841920 in words is "two hundred fifty-eight billion, four hundred sixty-five million, eight hundred forty-one thousand, nine hundred twenty".