259116320 has 48 divisors (see below), whose sum is σ = 616682808. Its totient is φ = 102881280.

The previous prime is 259116317. The next prime is 259116331. The reversal of 259116320 is 23611952.

259116320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 170981776 + 88134544 = 13076^2 + 9388^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16010 + ... + 27830.

Almost surely, 2^259116320 is an apocalyptic number.

259116320 is a gapful number since it is divisible by the number (20) 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 259116320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308341404).

259116320 is an abundant number, since it is smaller than the sum of its proper divisors (357566488).

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

259116320 is a wasteful number, since it uses less digits than its factorization.

259116320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11973 (or 11965 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 259116320 is about 16097.0904203213. The cubic root of 259116320 is about 637.5265204910.

The spelling of 259116320 in words is "two hundred fifty-nine million, one hundred sixteen thousand, three hundred twenty".