166865707008 has 2016 divisors, whose sum is σ = 734215285440. Its totient is φ = 35672555520.

The previous prime is 166865706983. The next prime is 166865707039. The reversal of 166865707008 is 800707568661.

166865707008 is a `hidden beast` number, since 1 + 6 + 68 + 6 + 570 + 7 + 0 + 0 + 8 = 666.

166865707008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8782405623 + ... + 8782405641.

It is an arithmetic number, because the mean of its divisors is an integer number (364194090).

Almost surely, 2^166865707008 is an apocalyptic number.

166865707008 is a gapful number since it is divisible by the number (18) 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 166865707008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367107642720).

166865707008 is an abundant number, since it is smaller than the sum of its proper divisors (567349578432).

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

166865707008 is a wasteful number, since it uses less digits than its factorization.

166865707008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 166865707008 in words is "one hundred sixty-six billion, eight hundred sixty-five million, seven hundred seven thousand, eight".