258381397683360 has 3840 divisors, whose sum is σ = 1194665436518400. Its totient is φ = 52274785812480.

The previous prime is 258381397683329. The next prime is 258381397683401. The reversal of 258381397683360 is 63386793183852.

258381397683360 is a `hidden beast` number, since 2 + 5 + 83 + 81 + 39 + 7 + 6 + 83 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 106024372062 + ... + 106024374498.

It is an arithmetic number, because the mean of its divisors is an integer number (311110790760).

Almost surely, 2^{258381397683360} is an apocalyptic number.

258381397683360 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 258381397683360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597332718259200).

258381397683360 is an abundant number, since it is smaller than the sum of its proper divisors (936284038835040).

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

258381397683360 is a wasteful number, since it uses less digits than its factorization.

258381397683360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 258381397683360 in words is "two hundred fifty-eight trillion, three hundred eighty-one billion, three hundred ninety-seven million, six hundred eighty-three thousand, three hundred sixty".