259409222592 has 112 divisors (see below), whose sum is σ = 740996122272. Its totient is φ = 79618867200.

The previous prime is 259409222591. The next prime is 259409222593. The reversal of 259409222592 is 295222904952.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (259409222591) and next prime (259409222593).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259409222591) 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, 871308 + ... + 1130484.

It is an arithmetic number, because the mean of its divisors is an integer number (6616036806).

Almost surely, 2^259409222592 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 259409222592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370498061136).

259409222592 is an abundant number, since it is smaller than the sum of its proper divisors (481586899680).

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

259409222592 is a wasteful number, since it uses less digits than its factorization.

259409222592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259606 (or 259596 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 259409222592 in words is "two hundred fifty-nine billion, four hundred nine million, two hundred twenty-two thousand, five hundred ninety-two".