10082065128 has 64 divisors (see below), whose sum is σ = 26125839360. Its totient is φ = 3240067776.

The previous prime is 10082065087. The next prime is 10082065153. The reversal of 10082065128 is 82156028001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8875 + ... + 142277.

It is an arithmetic number, because the mean of its divisors is an integer number (408216240).

Almost surely, 2^10082065128 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 10082065128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13062919680).

10082065128 is an abundant number, since it is smaller than the sum of its proper divisors (16043774232).

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

10082065128 is a wasteful number, since it uses less digits than its factorization.

10082065128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133526 (or 133522 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 10082065128 in words is "ten billion, eighty-two million, sixty-five thousand, one hundred twenty-eight".