258608972160 has 2560 divisors, whose sum is σ = 1264263137280. Its totient is φ = 48731258880.

The previous prime is 258608972159. The next prime is 258608972161. The reversal of 258608972160 is 61279806852.

258608972160 is a `hidden beast` number, since 2 + 5 + 8 + 608 + 9 + 7 + 21 + 6 + 0 = 666.

258608972160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (258608972159) and next prime (258608972161).

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 = 258608972097 and 258608972106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258608972161) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2510766669 + ... + 2510766771.

It is an arithmetic number, because the mean of its divisors is an integer number (493852788).

Almost surely, 2^258608972160 is an apocalyptic number.

258608972160 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 258608972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632131568640).

258608972160 is an abundant number, since it is smaller than the sum of its proper divisors (1005654165120).

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

258608972160 is a wasteful number, since it uses less digits than its factorization.

258608972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 258608972160 in words is "two hundred fifty-eight billion, six hundred eight million, nine hundred seventy-two thousand, one hundred sixty".