259946649952 has 48 divisors (see below), whose sum is σ = 560417501952. Its totient is φ = 117708257920.

The previous prime is 259946649923. The next prime is 259946649979.

259946649952 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 7 ways as a sum of consecutive naturals, for example, 1311388 + ... + 1496539.

It is an arithmetic number, because the mean of its divisors is an integer number (11675364624).

Almost surely, 2^259946649952 is an apocalyptic number.

259946649952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

259946649952 is an abundant number, since it is smaller than the sum of its proper divisors (300470852000).

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

259946649952 is a wasteful number, since it uses less digits than its factorization.

259946649952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808211 (or 2808203 counting only the distinct ones).

The product of its digits is 377913600, while the sum is 70.

The spelling of 259946649952 in words is "two hundred fifty-nine billion, nine hundred forty-six million, six hundred forty-nine thousand, nine hundred fifty-two".