166023504366200 has 288 divisors, whose sum is σ = 420766128619200. Its totient is φ = 60893344512000.

The previous prime is 166023504366191. The next prime is 166023504366241. The reversal of 166023504366200 is 2663405320661.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5573300906 + ... + 5573330694.

It is an arithmetic number, because the mean of its divisors is an integer number (1460993502150).

Almost surely, 2^{166023504366200} is an apocalyptic number.

166023504366200 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 166023504366200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210383064309600).

166023504366200 is an abundant number, since it is smaller than the sum of its proper divisors (254742624253000).

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

166023504366200 is a wasteful number, since it uses less digits than its factorization.

166023504366200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30923 (or 30901 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 44.

Adding to 166023504366200 its reverse (2663405320661), we get a palindrome (168686909686861).

The spelling of 166023504366200 in words is "one hundred sixty-six trillion, twenty-three billion, five hundred four million, three hundred sixty-six thousand, two hundred".