259081417728 has 792 divisors, whose sum is σ = 926897976000. Its totient is φ = 71275438080.

The previous prime is 259081417711. The next prime is 259081417799. The reversal of 259081417728 is 827714180952.

259081417728 is a `hidden beast` number, since 2 + 590 + 8 + 1 + 41 + 7 + 7 + 2 + 8 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1301916573 + ... + 1301916771.

Almost surely, 2^259081417728 is an apocalyptic number.

259081417728 is a gapful number since it is divisible by the number (28) 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 259081417728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463448988000).

259081417728 is an abundant number, since it is smaller than the sum of its proper divisors (667816558272).

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

259081417728 is a wasteful number, since it uses less digits than its factorization.

259081417728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 259081417728 in words is "two hundred fifty-nine billion, eighty-one million, four hundred seventeen thousand, seven hundred twenty-eight".