852968114820 has 192 divisors, whose sum is σ = 2694700915200. Its totient is φ = 223950666240.

The previous prime is 852968114819. The next prime is 852968114897. The reversal of 852968114820 is 28411869258.

852968114820 is a `hidden beast` number, since 8 + 529 + 6 + 81 + 14 + 8 + 20 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 29008686 + ... + 29038074.

It is an arithmetic number, because the mean of its divisors is an integer number (14034900600).

Almost surely, 2^852968114820 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 852968114820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347350457600).

852968114820 is an abundant number, since it is smaller than the sum of its proper divisors (1841732800380).

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

852968114820 is a wasteful number, since it uses less digits than its factorization.

852968114820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30235 (or 30227 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 852968114820 in words is "eight hundred fifty-two billion, nine hundred sixty-eight million, one hundred fourteen thousand, eight hundred twenty".