259565565952 has 288 divisors, whose sum is σ = 672772988160. Its totient is φ = 98957967360.

The previous prime is 259565565943. The next prime is 259565565967.

It is a happy number.

259565565952 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51879483 + ... + 51884485.

It is an arithmetic number, because the mean of its divisors is an integer number (2336017320).

Almost surely, 2^259565565952 is an apocalyptic number.

259565565952 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 259565565952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336386494080).

259565565952 is an abundant number, since it is smaller than the sum of its proper divisors (413207422208).

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

259565565952 is a wasteful number, since it uses less digits than its factorization.

259565565952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097 (or 5070 counting only the distinct ones).

The product of its digits is 182250000, while the sum is 64.

The spelling of 259565565952 in words is "two hundred fifty-nine billion, five hundred sixty-five million, five hundred sixty-five thousand, nine hundred fifty-two".