166992883200 has 1920 divisors, whose sum is σ = 750151987200. Its totient is φ = 35831808000.

The previous prime is 166992883193. The next prime is 166992883217. The reversal of 166992883200 is 2388299661.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1532044746 + ... + 1532044854.

It is an arithmetic number, because the mean of its divisors is an integer number (390704160).

Almost surely, 2^166992883200 is an apocalyptic number.

166992883200 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 166992883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375075993600).

166992883200 is an abundant number, since it is smaller than the sum of its proper divisors (583159104000).

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

166992883200 is a wasteful number, since it uses less digits than its factorization.

166992883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

It can be divided in two parts, 1669928 and 83200, that added together give a triangular number (1753128 = T₁₈₇₂).

The spelling of 166992883200 in words is "one hundred sixty-six billion, nine hundred ninety-two million, eight hundred eighty-three thousand, two hundred".