259244131328 has 352 divisors, whose sum is σ = 693756532224. Its totient is φ = 93895262208.

The previous prime is 259244131319. The next prime is 259244131361. The reversal of 259244131328 is 823131442952.

It is a super-2 number, since 2×259244131328² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58610525 + ... + 58614947.

Almost surely, 2^259244131328 is an apocalyptic number.

259244131328 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 259244131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346878266112).

259244131328 is an abundant number, since it is smaller than the sum of its proper divisors (434512400896).

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

259244131328 is a wasteful number, since it uses less digits than its factorization.

259244131328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4517 (or 4499 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The spelling of 259244131328 in words is "two hundred fifty-nine billion, two hundred forty-four million, one hundred thirty-one thousand, three hundred twenty-eight".