10005808128 has 88 divisors (see below), whose sum is σ = 27828850368. Its totient is φ = 3190235136.

The previous prime is 10005808103. The next prime is 10005808249. The reversal of 10005808128 is 82180850001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151 + ... + 141462.

It is an arithmetic number, because the mean of its divisors is an integer number (316236936).

Almost surely, 2^10005808128 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 10005808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13914425184).

10005808128 is an abundant number, since it is smaller than the sum of its proper divisors (17823042240).

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

10005808128 is a wasteful number, since it uses less digits than its factorization.

10005808128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141659 (or 141641 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 33.

The spelling of 10005808128 in words is "ten billion, five million, eight hundred eight thousand, one hundred twenty-eight".