258874649256960 has 2464 divisors, whose sum is σ = 1098187601846400. Its totient is φ = 57841137745920.

The previous prime is 258874649256917. The next prime is 258874649256961. The reversal of 258874649256960 is 69652946478852.

258874649256960 is a `hidden beast` number, since 2 + 5 + 8 + 8 + 7 + 4 + 6 + 49 + 2 + 569 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 258874649256960.

It is not an unprimeable number, because it can be changed into a prime (258874649256961) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 28863263356 + ... + 28863272324.

Almost surely, 2^{258874649256960} is an apocalyptic number.

258874649256960 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 258874649256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549093800923200).

258874649256960 is an abundant number, since it is smaller than the sum of its proper divisors (839312952589440).

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

258874649256960 is a wasteful number, since it uses less digits than its factorization.

258874649256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9079 (or 9046 counting only the distinct ones).

The product of its (nonzero) digits is 12541132800, while the sum is 81.

The spelling of 258874649256960 in words is "two hundred fifty-eight trillion, eight hundred seventy-four billion, six hundred forty-nine million, two hundred fifty-six thousand, nine hundred sixty".