258284118960 has 320 divisors, whose sum is σ = 1019111439360. Its totient is φ = 58898534400.

The previous prime is 258284118919. The next prime is 258284118977. The reversal of 258284118960 is 69811482852.

258284118960 is a `hidden beast` number, since 2 + 582 + 8 + 41 + 18 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×258284118960² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 258284118897 and 258284118906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6527235 + ... + 6566685.

It is an arithmetic number, because the mean of its divisors is an integer number (3184723248).

Almost surely, 2^258284118960 is an apocalyptic number.

258284118960 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 258284118960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509555719680).

258284118960 is an abundant number, since it is smaller than the sum of its proper divisors (760827320400).

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

258284118960 is a wasteful number, since it uses less digits than its factorization.

258284118960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39913 (or 39901 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 258284118960 in words is "two hundred fifty-eight billion, two hundred eighty-four million, one hundred eighteen thousand, nine hundred sixty".