258475392000 has 1584 divisors, whose sum is σ = 1145265058080. Its totient is φ = 55738368000.

The previous prime is 258475391969. The next prime is 258475392053. The reversal of 258475392000 is 293574852.

258475392000 is a `hidden beast` number, since 2 + 58 + 47 + 539 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1072511880 + ... + 1072512120.

It is an arithmetic number, because the mean of its divisors is an integer number (723020870).

Almost surely, 2^258475392000 is an apocalyptic number.

258475392000 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 258475392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572632529040).

258475392000 is an abundant number, since it is smaller than the sum of its proper divisors (886789666080).

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

258475392000 is a wasteful number, since it uses less digits than its factorization.

258475392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 258475392000 in words is "two hundred fifty-eight billion, four hundred seventy-five million, three hundred ninety-two thousand".