259315552320 has 448 divisors, whose sum is σ = 931771551744. Its totient is φ = 60553543680.

The previous prime is 259315552303. The next prime is 259315552337. The reversal of 259315552320 is 23255513952.

It is an interprime number because it is at equal distance from previous prime (259315552303) and next prime (259315552337).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33143929 + ... + 33151751.

Almost surely, 2^259315552320 is an apocalyptic number.

259315552320 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 259315552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465885775872).

259315552320 is an abundant number, since it is smaller than the sum of its proper divisors (672455999424).

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

259315552320 is a wasteful number, since it uses less digits than its factorization.

259315552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7970 (or 7960 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 42.

The spelling of 259315552320 in words is "two hundred fifty-nine billion, three hundred fifteen million, five hundred fifty-two thousand, three hundred twenty".