10085872128 has 80 divisors (see below), whose sum is σ = 27441279360. Its totient is φ = 3290402816.

The previous prime is 10085872079. The next prime is 10085872141. The reversal of 10085872128 is 82127858001.

It is a self number, because there is not a number n which added to its sum of digits gives 10085872128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2338 + ... + 142046.

It is an arithmetic number, because the mean of its divisors is an integer number (343015992).

Almost surely, 2^10085872128 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 10085872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13720639680).

10085872128 is an abundant number, since it is smaller than the sum of its proper divisors (17355407232).

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

10085872128 is an equidigital number, since it uses as much as digits as its factorization.

10085872128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139777 (or 139761 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 42.

The spelling of 10085872128 in words is "ten billion, eighty-five million, eight hundred seventy-two thousand, one hundred twenty-eight".