258738650840 has 64 divisors (see below), whose sum is σ = 590491157760. Its totient is φ = 102016419840.

The previous prime is 258738650837. The next prime is 258738650843. The reversal of 258738650840 is 48056837852.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (258738650837) and next prime (258738650843).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258738650843) 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, 4999577 + ... + 5051063.

It is an arithmetic number, because the mean of its divisors is an integer number (9226424340).

Almost surely, 2^258738650840 is an apocalyptic number.

258738650840 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 258738650840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295245578880).

258738650840 is an abundant number, since it is smaller than the sum of its proper divisors (331752506920).

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

258738650840 is a wasteful number, since it uses less digits than its factorization.

258738650840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53292 (or 53288 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 56.

The spelling of 258738650840 in words is "two hundred fifty-eight billion, seven hundred thirty-eight million, six hundred fifty thousand, eight hundred forty".