8259109340328 has 768 divisors, whose sum is σ = 28678476902400. Its totient is φ = 2085545594880.

The previous prime is 8259109340323. The next prime is 8259109340341. The reversal of 8259109340328 is 8230439019528.

8259109340328 is a `hidden beast` number, since 8 + 2 + 591 + 0 + 9 + 3 + 40 + 3 + 2 + 8 = 666.

It is a super-2 number, since 2×8259109340328² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8259109340323) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8283960726 + ... + 8283961722.

It is an arithmetic number, because the mean of its divisors is an integer number (37341766800).

Almost surely, 2^{8259109340328} is an apocalyptic number.

8259109340328 is a gapful number since it is divisible by the number (88) 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 8259109340328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14339238451200).

8259109340328 is an abundant number, since it is smaller than the sum of its proper divisors (20419367562072).

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

8259109340328 is a wasteful number, since it uses less digits than its factorization.

8259109340328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 8259109340328 in words is "eight trillion, two hundred fifty-nine billion, one hundred nine million, three hundred forty thousand, three hundred twenty-eight".