258515825568 has 384 divisors, whose sum is σ = 912441729024. Its totient is φ = 61892812800.

The previous prime is 258515825527. The next prime is 258515825591. The reversal of 258515825568 is 865528515852.

It is a happy number.

258515825568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87541980 + ... + 87544932.

It is an arithmetic number, because the mean of its divisors is an integer number (2376150336).

Almost surely, 2^258515825568 is an apocalyptic number.

258515825568 is a gapful number since it is divisible by the number (28) 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 258515825568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456220864512).

258515825568 is an abundant number, since it is smaller than the sum of its proper divisors (653925903456).

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

258515825568 is a wasteful number, since it uses less digits than its factorization.

258515825568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3900 counting only the distinct ones).

The product of its digits is 38400000, while the sum is 60.

The spelling of 258515825568 in words is "two hundred fifty-eight billion, five hundred fifteen million, eight hundred twenty-five thousand, five hundred sixty-eight".