8109725584128 has 288 divisors, whose sum is σ = 25344684288000. Its totient is φ = 2253469040640.

The previous prime is 8109725584127. The next prime is 8109725584159. The reversal of 8109725584128 is 8214855279018.

It is not an unprimeable number, because it can be changed into a prime (8109725584127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546801673 + ... + 546816503.

It is an arithmetic number, because the mean of its divisors is an integer number (88002376000).

Almost surely, 2^{8109725584128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8109725584128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12672342144000).

8109725584128 is an abundant number, since it is smaller than the sum of its proper divisors (17234958703872).

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

8109725584128 is a wasteful number, since it uses less digits than its factorization.

8109725584128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17643 (or 17629 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 60.

The spelling of 8109725584128 in words is "eight trillion, one hundred nine billion, seven hundred twenty-five million, five hundred eighty-four thousand, one hundred twenty-eight".