259118164416 has 84 divisors (see below), whose sum is σ = 692056551368. Its totient is φ = 85564773888.

The previous prime is 259118164411. The next prime is 259118164433. The reversal of 259118164416 is 614461811952.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259118164411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2139270 + ... + 2257146.

Almost surely, 2^259118164416 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 259118164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346028275684).

259118164416 is an abundant number, since it is smaller than the sum of its proper divisors (432938386952).

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

259118164416 is a wasteful number, since it uses less digits than its factorization.

259118164416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118106 (or 117989 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The spelling of 259118164416 in words is "two hundred fifty-nine billion, one hundred eighteen million, one hundred sixty-four thousand, four hundred sixteen".