259097790952 has 128 divisors (see below), whose sum is σ = 652529203200. Its totient is φ = 93145593600.

The previous prime is 259097790949. The next prime is 259097790953.

259097790952 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (259097790953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28495927 + ... + 28505017.

It is an arithmetic number, because the mean of its divisors is an integer number (5097884400).

Almost surely, 2^259097790952 is an apocalyptic number.

259097790952 is a gapful number since it is divisible by the number (22) 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 259097790952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326264601600).

259097790952 is an abundant number, since it is smaller than the sum of its proper divisors (393431412248).

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

259097790952 is a wasteful number, since it uses less digits than its factorization.

259097790952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12687 (or 12683 counting only the distinct ones).

The product of its (nonzero) digits is 32148900, while the sum is 64.

The spelling of 259097790952 in words is "two hundred fifty-nine billion, ninety-seven million, seven hundred ninety thousand, nine hundred fifty-two".