258738868224 has 312 divisors, whose sum is σ = 774828234752. Its totient is φ = 83103252480.

The previous prime is 258738868217. The next prime is 258738868229. The reversal of 258738868224 is 422868837852.

258738868224 is a `hidden beast` number, since 25 + 8 + 7 + 388 + 6 + 8 + 224 = 666.

258738868224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258738868229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426258129 + ... + 426258735.

Almost surely, 2^258738868224 is an apocalyptic number.

258738868224 is a gapful number since it is divisible by the number (24) 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 258738868224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387414117376).

258738868224 is an abundant number, since it is smaller than the sum of its proper divisors (516089366528).

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

258738868224 is a wasteful number, since it uses less digits than its factorization.

258738868224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1016 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 63.

The spelling of 258738868224 in words is "two hundred fifty-eight billion, seven hundred thirty-eight million, eight hundred sixty-eight thousand, two hundred twenty-four".