10852896364200 has 768 divisors, whose sum is σ = 43840479744000. Its totient is φ = 2439486720000.

The previous prime is 10852896364097. The next prime is 10852896364223. The reversal of 10852896364200 is 246369825801.

10852896364200 is a `hidden beast` number, since 1 + 0 + 8 + 528 + 96 + 3 + 6 + 4 + 20 + 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 191 ways as a sum of consecutive naturals, for example, 52941900 + ... + 53146500.

It is an arithmetic number, because the mean of its divisors is an integer number (57083958000).

Almost surely, 2^{10852896364200} is an apocalyptic number.

10852896364200 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 10852896364200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21920239872000).

10852896364200 is an abundant number, since it is smaller than the sum of its proper divisors (32987583379800).

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

10852896364200 is a wasteful number, since it uses less digits than its factorization.

10852896364200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204703 (or 204688 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 10852896364200 in words is "ten trillion, eight hundred fifty-two billion, eight hundred ninety-six million, three hundred sixty-four thousand, two hundred".