259398713344 has 135 divisors (see below), whose sum is σ = 545470905553. Its totient is φ = 123343142912.

The previous prime is 259398713339. The next prime is 259398713363. The reversal of 259398713344 is 443317893952.

The square root of 259398713344 is 509312.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 235962777600 + 23435935744 = 485760^2 + 153088^2 .

It is a Duffinian number.

Its product of digits (19595520) is a multiple of the sum of its prime factors (420).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1499414442 + ... + 1499414614.

Almost surely, 2^259398713344 is an apocalyptic number.

259398713344 is the 509312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259398713344

259398713344 is an abundant number, since it is smaller than the sum of its proper divisors (286072192209).

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

259398713344 is an frugal number, since it uses more digits than its factorization.

259398713344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 198 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 58.

The spelling of 259398713344 in words is "two hundred fifty-nine billion, three hundred ninety-eight million, seven hundred thirteen thousand, three hundred forty-four".