851093128116 has 768 divisors, whose sum is σ = 3053636812800. Its totient is φ = 198306662400.

The previous prime is 851093128099. The next prime is 851093128157. The reversal of 851093128116 is 611821390158.

851093128116 is a `hidden beast` number, since 8 + 510 + 9 + 3 + 12 + 8 + 116 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 230209980 + ... + 230213676.

It is an arithmetic number, because the mean of its divisors is an integer number (3976089600).

Almost surely, 2^851093128116 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 851093128116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526818406400).

851093128116 is an abundant number, since it is smaller than the sum of its proper divisors (2202543684684).

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

851093128116 is a wasteful number, since it uses less digits than its factorization.

851093128116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 851093128116 in words is "eight hundred fifty-one billion, ninety-three million, one hundred twenty-eight thousand, one hundred sixteen".