259249164288 has 208 divisors, whose sum is σ = 705650063040. Its totient is φ = 84627423232.

The previous prime is 259249164287. The next prime is 259249164311. The reversal of 259249164288 is 882461942952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259249164287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255921670 + ... + 255922682.

It is an arithmetic number, because the mean of its divisors is an integer number (3392548380).

Almost surely, 2^259249164288 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 259249164288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352825031520).

259249164288 is an abundant number, since it is smaller than the sum of its proper divisors (446400898752).

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

259249164288 is a wasteful number, since it uses less digits than its factorization.

259249164288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1430 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 60.

The spelling of 259249164288 in words is "two hundred fifty-nine billion, two hundred forty-nine million, one hundred sixty-four thousand, two hundred eighty-eight".