166185882720 has 1152 divisors, whose sum is σ = 730217255040. Its totient is φ = 33773322240.

The previous prime is 166185882719. The next prime is 166185882727. The reversal of 166185882720 is 27288581661.

166185882720 is a `hidden beast` number, since 1 + 6 + 6 + 18 + 588 + 27 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166185882727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101517742 + ... + 101519378.

It is an arithmetic number, because the mean of its divisors is an integer number (633869145).

Almost surely, 2^166185882720 is an apocalyptic number.

166185882720 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 166185882720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365108627520).

166185882720 is an abundant number, since it is smaller than the sum of its proper divisors (564031372320).

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

166185882720 is a wasteful number, since it uses less digits than its factorization.

166185882720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 166185882720 in words is "one hundred sixty-six billion, one hundred eighty-five million, eight hundred eighty-two thousand, seven hundred twenty".