852990816096 has 384 divisors, whose sum is σ = 2588785920000. Its totient is φ = 276487561728.

The previous prime is 852990816079. The next prime is 852990816163. The reversal of 852990816096 is 690618099258.

852990816096 is a `hidden beast` number, since 8 + 529 + 9 + 0 + 8 + 16 + 0 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 569039155 + ... + 569040653.

It is an arithmetic number, because the mean of its divisors is an integer number (6741630000).

Almost surely, 2^852990816096 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 852990816096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294392960000).

852990816096 is an abundant number, since it is smaller than the sum of its proper divisors (1735795103904).

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

852990816096 is a wasteful number, since it uses less digits than its factorization.

852990816096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 852990816096 in words is "eight hundred fifty-two billion, nine hundred ninety million, eight hundred sixteen thousand, ninety-six".