851056796160 has 640 divisors, whose sum is σ = 3220758858240. Its totient is φ = 212270579712.

The previous prime is 851056796113. The next prime is 851056796197. The reversal of 851056796160 is 61697650158.

851056796160 is a `hidden beast` number, since 8 + 5 + 10 + 5 + 6 + 7 + 9 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 851056796097 and 851056796106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196229512 + ... + 196233848.

It is an arithmetic number, because the mean of its divisors is an integer number (5032435716).

Almost surely, 2^851056796160 is an apocalyptic number.

851056796160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 851056796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610379429120).

851056796160 is an abundant number, since it is smaller than the sum of its proper divisors (2369702062080).

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

851056796160 is a wasteful number, since it uses less digits than its factorization.

851056796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 851056796160 in words is "eight hundred fifty-one billion, fifty-six million, seven hundred ninety-six thousand, one hundred sixty".