166683724903200 has 288 divisors, whose sum is σ = 550705509716544. Its totient is φ = 43781429514240.

The previous prime is 166683724903187. The next prime is 166683724903207. The reversal of 166683724903200 is 2309427386661.

It is not an unprimeable number, because it can be changed into a prime (166683724903207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1935506542 + ... + 1935592658.

It is an arithmetic number, because the mean of its divisors is an integer number (1912171908738).

Almost surely, 2^{166683724903200} is an apocalyptic number.

166683724903200 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 166683724903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275352754858272).

166683724903200 is an abundant number, since it is smaller than the sum of its proper divisors (384021784813344).

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

166683724903200 is a wasteful number, since it uses less digits than its factorization.

166683724903200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98244 (or 98231 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 166683724903200 in words is "one hundred sixty-six trillion, six hundred eighty-three billion, seven hundred twenty-four million, nine hundred three thousand, two hundred".