258749099808 has 192 divisors, whose sum is σ = 710614840320. Its totient is φ = 82335052800.

The previous prime is 258749099801. The next prime is 258749099831. The reversal of 258749099808 is 808990947852.

It is not an unprimeable number, because it can be changed into a prime (258749099801) 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, 111962973 + ... + 111965283.

It is an arithmetic number, because the mean of its divisors is an integer number (3701118960).

Almost surely, 2^258749099808 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 258749099808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355307420160).

258749099808 is an abundant number, since it is smaller than the sum of its proper divisors (451865740512).

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

258749099808 is a wasteful number, since it uses less digits than its factorization.

258749099808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 69.

The spelling of 258749099808 in words is "two hundred fifty-eight billion, seven hundred forty-nine million, ninety-nine thousand, eight hundred eight".