258879264000 has 1728 divisors, whose sum is σ = 1102647017472. Its totient is φ = 52641792000.

The previous prime is 258879263963. The next prime is 258879264013. The reversal of 258879264000 is 462978852.

258879264000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6020447979 + ... + 6020448021.

Almost surely, 2^258879264000 is an apocalyptic number.

258879264000 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 258879264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551323508736).

258879264000 is an abundant number, since it is smaller than the sum of its proper divisors (843767753472).

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

258879264000 is a wasteful number, since it uses less digits than its factorization.

258879264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 258879264000 in words is "two hundred fifty-eight billion, eight hundred seventy-nine million, two hundred sixty-four thousand".