259304031168 has 448 divisors, whose sum is σ = 906394245120. Its totient is φ = 63478038528.

The previous prime is 259304031101. The next prime is 259304031169. The reversal of 259304031168 is 861130403952.

259304031168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259304031169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21676773 + ... + 21688731.

It is an arithmetic number, because the mean of its divisors is an integer number (2023201440).

Almost surely, 2^259304031168 is an apocalyptic number.

259304031168 is a gapful number since it is divisible by the number (28) 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 259304031168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453197122560).

259304031168 is an abundant number, since it is smaller than the sum of its proper divisors (647090213952).

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

259304031168 is a wasteful number, since it uses less digits than its factorization.

259304031168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12084 (or 12074 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 259304031168 in words is "two hundred fifty-nine billion, three hundred four million, thirty-one thousand, one hundred sixty-eight".