259796697952 has 96 divisors (see below), whose sum is σ = 566642006784. Its totient is φ = 116256729600.

The previous prime is 259796697947. The next prime is 259796697967.

259796697952 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75018973 + ... + 75022435.

It is an arithmetic number, because the mean of its divisors is an integer number (5902520904).

Almost surely, 2^259796697952 is an apocalyptic number.

259796697952 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 259796697952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283321003392).

259796697952 is an abundant number, since it is smaller than the sum of its proper divisors (306845308832).

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

259796697952 is a wasteful number, since it uses less digits than its factorization.

259796697952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6732 (or 6724 counting only the distinct ones).

The product of its digits is 1157360400, while the sum is 76.

The spelling of 259796697952 in words is "two hundred fifty-nine billion, seven hundred ninety-six million, six hundred ninety-seven thousand, nine hundred fifty-two".