166533392140200 has 2304 divisors, whose sum is σ = 664975201363200. Its totient is φ = 38469029068800.

The previous prime is 166533392140151. The next prime is 166533392140207. The reversal of 166533392140200 is 2041293335661.

166533392140200 is a `hidden beast` number, since 1 + 6 + 6 + 53 + 3 + 392 + 1 + 4 + 0 + 200 = 666.

166533392140200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (166533392140207) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 227194259034 + ... + 227194259766.

It is an arithmetic number, because the mean of its divisors is an integer number (288617708925).

Almost surely, 2^{166533392140200} is an apocalyptic number.

166533392140200 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 166533392140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332487600681600).

166533392140200 is an abundant number, since it is smaller than the sum of its proper divisors (498441809223000).

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

166533392140200 is a wasteful number, since it uses less digits than its factorization.

166533392140200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 166533392140200 in words is "one hundred sixty-six trillion, five hundred thirty-three billion, three hundred ninety-two million, one hundred forty thousand, two hundred".