259065806328 has 400 divisors, whose sum is σ = 851030631000. Its totient is φ = 73624505472.

The previous prime is 259065806327. The next prime is 259065806333. The reversal of 259065806328 is 823608560952.

259065806328 is a `hidden beast` number, since 2 + 59 + 0 + 6 + 580 + 6 + 3 + 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 not an unprimeable number, because it can be changed into a prime (259065806327) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 418522803 + ... + 418523421.

Almost surely, 2^259065806328 is an apocalyptic number.

259065806328 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 259065806328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425515315500).

259065806328 is an abundant number, since it is smaller than the sum of its proper divisors (591964824672).

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

259065806328 is an equidigital number, since it uses as much as digits as its factorization.

259065806328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 259065806328 in words is "two hundred fifty-nine billion, sixty-five million, eight hundred six thousand, three hundred twenty-eight".