4882543189200 has 360 divisors, whose sum is σ = 17820382993920. Its totient is φ = 1236235852800.

The previous prime is 4882543189187. The next prime is 4882543189207. The reversal of 4882543189200 is 29813452884.

4882543189200 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 543 + 1 + 8 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4882543189207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5502061 + ... + 6327539.

It is an arithmetic number, because the mean of its divisors is an integer number (49501063872).

Almost surely, 2^{4882543189200} is an apocalyptic number.

4882543189200 is a gapful number since it is divisible by the number (40) 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 4882543189200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8910191496960).

4882543189200 is an abundant number, since it is smaller than the sum of its proper divisors (12937839804720).

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

4882543189200 is a wasteful number, since it uses less digits than its factorization.

4882543189200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825587 (or 825573 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 4882543189200 in words is "four trillion, eight hundred eighty-two billion, five hundred forty-three million, one hundred eighty-nine thousand, two hundred".