259501860816 has 160 divisors (see below), whose sum is σ = 745242301440. Its totient is φ = 77145753600.

The previous prime is 259501860809. The next prime is 259501860817. The reversal of 259501860816 is 618068105952.

259501860816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259501860817) 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, 15661176 + ... + 15677736.

It is an arithmetic number, because the mean of its divisors is an integer number (4657764384).

Almost surely, 2^259501860816 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 259501860816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372621150720).

259501860816 is an abundant number, since it is smaller than the sum of its proper divisors (485740440624).

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

259501860816 is a wasteful number, since it uses less digits than its factorization.

259501860816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17145 (or 17139 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 51.

The spelling of 259501860816 in words is "two hundred fifty-nine billion, five hundred one million, eight hundred sixty thousand, eight hundred sixteen".