9852685516800 has 1080 divisors, whose sum is σ = 41723317411776. Its totient is φ = 2251617730560.

The previous prime is 9852685516781. The next prime is 9852685516871. The reversal of 9852685516800 is 86155862589.

9852685516800 is a `hidden beast` number, since 9 + 8 + 52 + 68 + 5 + 516 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1857942949 + ... + 1857948251.

Almost surely, 2^{9852685516800} is an apocalyptic number.

9852685516800 is a gapful number since it is divisible by the number (90) 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 9852685516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20861658705888).

9852685516800 is an abundant number, since it is smaller than the sum of its proper divisors (31870631894976).

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

9852685516800 is an frugal number, since it uses more digits than its factorization.

9852685516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5366 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 63.

The spelling of 9852685516800 in words is "nine trillion, eight hundred fifty-two billion, six hundred eighty-five million, five hundred sixteen thousand, eight hundred".