258869013312 has 336 divisors, whose sum is σ = 865676452032. Its totient is φ = 67665346560.

The previous prime is 258869013259. The next prime is 258869013313. The reversal of 258869013312 is 213310968852.

It is a tau number, because it is divible by the number of its divisors (336).

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 (258869013313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13810987 + ... + 13829717.

It is an arithmetic number, because the mean of its divisors is an integer number (2576418012).

Almost surely, 2^258869013312 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 258869013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432838226016).

258869013312 is an abundant number, since it is smaller than the sum of its proper divisors (606807438720).

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

258869013312 is a wasteful number, since it uses less digits than its factorization.

258869013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18886 (or 18869 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 258869013312 in words is "two hundred fifty-eight billion, eight hundred sixty-nine million, thirteen thousand, three hundred twelve".