259948849952 has 48 divisors (see below), whose sum is σ = 558691553952. Its totient is φ = 118075537920.

The previous prime is 259948849939. The next prime is 259948850003.

259948849952 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 259948849952.

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, 243548 + ... + 761060.

It is an arithmetic number, because the mean of its divisors is an integer number (11639407374).

Almost surely, 2^259948849952 is an apocalyptic number.

259948849952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

259948849952 is an abundant number, since it is smaller than the sum of its proper divisors (298742704000).

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

259948849952 is a wasteful number, since it uses less digits than its factorization.

259948849952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518961 (or 518953 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 74.

The spelling of 259948849952 in words is "two hundred fifty-nine billion, nine hundred forty-eight million, eight hundred forty-nine thousand, nine hundred fifty-two".