258475674720 has 192 divisors, whose sum is σ = 860833370880. Its totient is φ = 65010935808.

The previous prime is 258475674713. The next prime is 258475674733. The reversal of 258475674720 is 27476574852.

258475674720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 2007814 + ... + 2132666.

It is an arithmetic number, because the mean of its divisors is an integer number (4483507140).

Almost surely, 2^258475674720 is an apocalyptic number.

258475674720 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 258475674720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430416685440).

258475674720 is an abundant number, since it is smaller than the sum of its proper divisors (602357696160).

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

258475674720 is a wasteful number, since it uses less digits than its factorization.

258475674720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125117 (or 125109 counting only the distinct ones).

The product of its (nonzero) digits is 26342400, while the sum is 57.

The spelling of 258475674720 in words is "two hundred fifty-eight billion, four hundred seventy-five million, six hundred seventy-four thousand, seven hundred twenty".