10852644686400 has 2016 divisors, whose sum is σ = 47774342246400. Its totient is φ = 2383603200000.

The previous prime is 10852644686371. The next prime is 10852644686441. The reversal of 10852644686400 is 468644625801.

10852644686400 is a `hidden beast` number, since 1 + 0 + 85 + 2 + 6 + 446 + 86 + 40 + 0 = 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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2284284025 + ... + 2284288775.

It is an arithmetic number, because the mean of its divisors is an integer number (23697590400).

Almost surely, 2^{10852644686400} is an apocalyptic number.

10852644686400 is a gapful number since it is divisible by the number (10) 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 10852644686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23887171123200).

10852644686400 is an abundant number, since it is smaller than the sum of its proper divisors (36921697560000).

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

10852644686400 is a wasteful number, since it uses less digits than its factorization.

10852644686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4846 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 10852644686400 in words is "ten trillion, eight hundred fifty-two billion, six hundred forty-four million, six hundred eighty-six thousand, four hundred".