13853382200 has 96 divisors (see below), whose sum is σ = 37175254560. Its totient is φ = 4702656000.

The previous prime is 13853382199. The next prime is 13853382281. The reversal of 13853382200 is 228335831.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92414 + ... + 190386.

It is an arithmetic number, because the mean of its divisors is an integer number (387242235).

Almost surely, 2^13853382200 is an apocalyptic number.

13853382200 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 13853382200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18587627280).

13853382200 is an abundant number, since it is smaller than the sum of its proper divisors (23321872360).

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

13853382200 is a wasteful number, since it uses less digits than its factorization.

13853382200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98097 (or 98088 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 13853382200 in words is "thirteen billion, eight hundred fifty-three million, three hundred eighty-two thousand, two hundred".