259641283680 has 768 divisors, whose sum is σ = 1002826137600. Its totient is φ = 62489180160.

The previous prime is 259641283673. The next prime is 259641283691. The reversal of 259641283680 is 86382146952.

259641283680 is a `hidden beast` number, since 2 + 5 + 96 + 412 + 83 + 68 + 0 = 666.

259641283680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 170479399 + ... + 170480921.

It is an arithmetic number, because the mean of its divisors is an integer number (1305763200).

Almost surely, 2^259641283680 is an apocalyptic number.

259641283680 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 259641283680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501413068800).

259641283680 is an abundant number, since it is smaller than the sum of its proper divisors (743184853920).

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

259641283680 is a wasteful number, since it uses less digits than its factorization.

259641283680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 259641283680 in words is "two hundred fifty-nine billion, six hundred forty-one million, two hundred eighty-three thousand, six hundred eighty".