258447172680 has 192 divisors, whose sum is σ = 846875502720. Its totient is φ = 68352768000.

The previous prime is 258447172679. The next prime is 258447172703. The reversal of 258447172680 is 86271744852.

258447172680 is a `hidden beast` number, since 2 + 58 + 447 + 1 + 72 + 6 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37124400 + ... + 37131360.

It is an arithmetic number, because the mean of its divisors is an integer number (4410809910).

Almost surely, 2^258447172680 is an apocalyptic number.

258447172680 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 258447172680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423437751360).

258447172680 is an abundant number, since it is smaller than the sum of its proper divisors (588428330040).

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

258447172680 is a wasteful number, since it uses less digits than its factorization.

258447172680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7812 (or 7805 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 258447172680 in words is "two hundred fifty-eight billion, four hundred forty-seven million, one hundred seventy-two thousand, six hundred eighty".