259655235840 has 2592 divisors, whose sum is σ = 1282445498880. Its totient is φ = 47103344640.

The previous prime is 259655235839. The next prime is 259655235869. The reversal of 259655235840 is 48532556952.

259655235840 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 5 + 52 + 3 + 584 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2917474516 + ... + 2917474604.

It is an arithmetic number, because the mean of its divisors is an integer number (494770640).

Almost surely, 2^259655235840 is an apocalyptic number.

259655235840 is a gapful number since it is divisible by the number (20) 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 259655235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641222749440).

259655235840 is an abundant number, since it is smaller than the sum of its proper divisors (1022790263040).

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

259655235840 is a wasteful number, since it uses less digits than its factorization.

259655235840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 259655235840 in words is "two hundred fifty-nine billion, six hundred fifty-five million, two hundred thirty-five thousand, eight hundred forty".