258669806080 has 320 divisors, whose sum is σ = 766309167360. Its totient is φ = 81744297984.

The previous prime is 258669806071. The next prime is 258669806081. The reversal of 258669806080 is 80608966852.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (258669806081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12587494 + ... + 12608026.

It is an arithmetic number, because the mean of its divisors is an integer number (2394716148).

Almost surely, 2^258669806080 is an apocalyptic number.

258669806080 is a gapful number since it is divisible by the number (20) 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 258669806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383154583680).

258669806080 is an abundant number, since it is smaller than the sum of its proper divisors (507639361280).

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

258669806080 is a wasteful number, since it uses less digits than its factorization.

258669806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20619 (or 20603 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 58.

The spelling of 258669806080 in words is "two hundred fifty-eight billion, six hundred sixty-nine million, eight hundred six thousand, eighty".