259855206966840 has 256 divisors, whose sum is σ = 840641907571200. Its totient is φ = 64044031795200.

The previous prime is 259855206966769. The next prime is 259855206966853. The reversal of 259855206966840 is 48669602558952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4539640620 + ... + 4539697860.

It is an arithmetic number, because the mean of its divisors is an integer number (3283757451450).

Almost surely, 2^{259855206966840} is an apocalyptic number.

259855206966840 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 259855206966840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420320953785600).

259855206966840 is an abundant number, since it is smaller than the sum of its proper divisors (580786700604360).

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

259855206966840 is a wasteful number, since it uses less digits than its factorization.

259855206966840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105878 (or 105874 counting only the distinct ones).

The product of its (nonzero) digits is 2239488000, while the sum is 75.

The spelling of 259855206966840 in words is "two hundred fifty-nine trillion, eight hundred fifty-five billion, two hundred six million, nine hundred sixty-six thousand, eight hundred forty".