11482549852200 has 384 divisors, whose sum is σ = 41141500108800. Its totient is φ = 2594929582080.

The previous prime is 11482549852157. The next prime is 11482549852223. The reversal of 11482549852200 is 225894528411.

It is a super-2 number, since 2×11482549852200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 423275037 + ... + 423302163.

It is an arithmetic number, because the mean of its divisors is an integer number (107139323200).

Almost surely, 2^{11482549852200} is an apocalyptic number.

11482549852200 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 11482549852200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20570750054400).

11482549852200 is an abundant number, since it is smaller than the sum of its proper divisors (29658950256600).

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

11482549852200 is a wasteful number, since it uses less digits than its factorization.

11482549852200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28289 (or 28280 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The spelling of 11482549852200 in words is "eleven trillion, four hundred eighty-two billion, five hundred forty-nine million, eight hundred fifty-two thousand, two hundred".