258989979159072 has 960 divisors, whose sum is σ = 970710322095360. Its totient is φ = 65944859443200.

The previous prime is 258989979159071. The next prime is 258989979159073. The reversal of 258989979159072 is 270951979989852.

258989979159072 is a `hidden beast` number, since 2 + 5 + 8 + 9 + 8 + 9 + 9 + 7 + 9 + 1 + 590 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (258989979159071) and next prime (258989979159073).

It is not an unprimeable number, because it can be changed into a prime (258989979159071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12547345872 + ... + 12547366512.

It is an arithmetic number, because the mean of its divisors is an integer number (1011156585516).

Almost surely, 2^{258989979159072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258989979159072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485355161047680).

258989979159072 is an abundant number, since it is smaller than the sum of its proper divisors (711720342936288).

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

258989979159072 is a wasteful number, since it uses less digits than its factorization.

258989979159072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22847 (or 22830 counting only the distinct ones).

The product of its (nonzero) digits is 18517766400, while the sum is 90.

The spelling of 258989979159072 in words is "two hundred fifty-eight trillion, nine hundred eighty-nine billion, nine hundred seventy-nine million, one hundred fifty-nine thousand, seventy-two".