258848894304 has 1728 divisors, whose sum is σ = 1090455125760. Its totient is φ = 57062154240.

The previous prime is 258848894287. The next prime is 258848894377. The reversal of 258848894304 is 403498848852.

258848894304 is a `hidden beast` number, since 2 + 5 + 88 + 48 + 89 + 430 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1648718994 + ... + 1648719150.

It is an arithmetic number, because the mean of its divisors is an integer number (631050420).

Almost surely, 2^258848894304 is an apocalyptic number.

258848894304 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 258848894304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545227562880).

258848894304 is an abundant number, since it is smaller than the sum of its proper divisors (831606231456).

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

258848894304 is a wasteful number, since it uses less digits than its factorization.

258848894304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 258848894304 in words is "two hundred fifty-eight billion, eight hundred forty-eight million, eight hundred ninety-four thousand, three hundred four".