10086784006728 has 192 divisors, whose sum is σ = 30136193236800. Its totient is φ = 2773653096960.

The previous prime is 10086784006711. The next prime is 10086784006751. The reversal of 10086784006728 is 82760048768001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11524638 + ... + 12368946.

It is an arithmetic number, because the mean of its divisors is an integer number (156959339775).

Almost surely, 2^{10086784006728} 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 10086784006728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15068096618400).

10086784006728 is an abundant number, since it is smaller than the sum of its proper divisors (20049409230072).

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

10086784006728 is a wasteful number, since it uses less digits than its factorization.

10086784006728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844460 (or 844397 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 10086784006728 in words is "ten trillion, eighty-six billion, seven hundred eighty-four million, six thousand, seven hundred twenty-eight".