258960977952768 has 1440 divisors, whose sum is σ = 1008302338923264. Its totient is φ = 64275829751808.

The previous prime is 258960977952697. The next prime is 258960977952799. The reversal of 258960977952768 is 867259779069852.

258960977952768 is a `hidden beast` number, since 2 + 5 + 8 + 9 + 6 + 0 + 9 + 7 + 79 + 527 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16424231221 + ... + 16424246987.

Almost surely, 2^{258960977952768} is an apocalyptic number.

258960977952768 is a gapful number since it is divisible by the number (28) 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 258960977952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504151169461632).

258960977952768 is an abundant number, since it is smaller than the sum of its proper divisors (749341360970496).

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

258960977952768 is an equidigital number, since it uses as much as digits as its factorization.

258960977952768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15850 (or 15809 counting only the distinct ones).

The product of its (nonzero) digits is 57610828800, while the sum is 90.

The spelling of 258960977952768 in words is "two hundred fifty-eight trillion, nine hundred sixty billion, nine hundred seventy-seven million, nine hundred fifty-two thousand, seven hundred sixty-eight".