258442180608 has 192 divisors, whose sum is σ = 729096076800. Its totient is φ = 81183375360.

The previous prime is 258442180603. The next prime is 258442180613. The reversal of 258442180608 is 806081244852.

It is an interprime number because it is at equal distance from previous prime (258442180603) and next prime (258442180613).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258442180603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22524313 + ... + 22535783.

It is an arithmetic number, because the mean of its divisors is an integer number (3797375400).

Almost surely, 2^258442180608 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 258442180608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364548038400).

258442180608 is an abundant number, since it is smaller than the sum of its proper divisors (470653896192).

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

258442180608 is a wasteful number, since it uses less digits than its factorization.

258442180608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11708 (or 11688 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 258442180608 in words is "two hundred fifty-eight billion, four hundred forty-two million, one hundred eighty thousand, six hundred eight".