259468103104 has 112 divisors (see below), whose sum is σ = 593011077120. Its totient is φ = 110339159040.

The previous prime is 259468103077. The next prime is 259468103113. The reversal of 259468103104 is 401301864952.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35849374 + ... + 35856610.

It is an arithmetic number, because the mean of its divisors is an integer number (5294741760).

Almost surely, 2^259468103104 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 259468103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296505538560).

259468103104 is an abundant number, since it is smaller than the sum of its proper divisors (333542974016).

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

259468103104 is a wasteful number, since it uses less digits than its factorization.

259468103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7866 (or 7856 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 259468103104 in words is "two hundred fifty-nine billion, four hundred sixty-eight million, one hundred three thousand, one hundred four".