852846196800 has 504 divisors, whose sum is σ = 3043730605440. Its totient is φ = 208969113600.

The previous prime is 852846196781. The next prime is 852846196819. The reversal of 852846196800 is 8691648258.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (852846196781) and next prime (852846196819).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 185762505 + ... + 185767095.

Almost surely, 2^852846196800 is an apocalyptic number.

852846196800 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 852846196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521865302720).

852846196800 is an abundant number, since it is smaller than the sum of its proper divisors (2190884408640).

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

852846196800 is a wasteful number, since it uses less digits than its factorization.

852846196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4871 (or 4843 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 852846196800 in words is "eight hundred fifty-two billion, eight hundred forty-six million, one hundred ninety-six thousand, eight hundred".