259225920096 has 216 divisors, whose sum is σ = 809919167400. Its totient is φ = 72510197760.

The previous prime is 259225920091. The next prime is 259225920133. The reversal of 259225920096 is 690029522952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259225920091) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1897080 + ... + 2029128.

It is an arithmetic number, because the mean of its divisors is an integer number (3749625775).

Almost surely, 2^259225920096 is an apocalyptic number.

259225920096 is a gapful number since it is divisible by the number (26) 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 259225920096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404959583700).

259225920096 is an abundant number, since it is smaller than the sum of its proper divisors (550693247304).

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

259225920096 is a wasteful number, since it uses less digits than its factorization.

259225920096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132110 (or 132078 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 259225920096 in words is "two hundred fifty-nine billion, two hundred twenty-five million, nine hundred twenty thousand, ninety-six".