166992587980200 has 576 divisors, whose sum is σ = 599989133081520. Its totient is φ = 41475870720000.

The previous prime is 166992587980199. The next prime is 166992587980219. The reversal of 166992587980200 is 2089785299661.

166992587980200 is a `hidden beast` number, since 1 + 6 + 6 + 99 + 258 + 7 + 9 + 80 + 200 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 73923850018404 + 93068737961796 = 8597898^2 + 9647214^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6616961982 + ... + 6616987218.

Almost surely, 2^{166992587980200} is an apocalyptic number.

166992587980200 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 166992587980200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299994566540760).

166992587980200 is an abundant number, since it is smaller than the sum of its proper divisors (432996545101320).

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

166992587980200 is a wasteful number, since it uses less digits than its factorization.

166992587980200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27518 (or 27506 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 166992587980200 in words is "one hundred sixty-six trillion, nine hundred ninety-two billion, five hundred eighty-seven million, nine hundred eighty thousand, two hundred".