166886000880 has 160 divisors (see below), whose sum is σ = 528479270400. Its totient is φ = 43552650240.

The previous prime is 166886000849. The next prime is 166886000881. The reversal of 166886000880 is 88000688661.

It is a happy number.

166886000880 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166886000881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2884719 + ... + 2942001.

It is an arithmetic number, because the mean of its divisors is an integer number (3302995440).

Almost surely, 2^166886000880 is an apocalyptic number.

166886000880 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 166886000880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264239635200).

166886000880 is an abundant number, since it is smaller than the sum of its proper divisors (361593269520).

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

166886000880 is a wasteful number, since it uses less digits than its factorization.

166886000880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57559 (or 57553 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 166886000880 in words is "one hundred sixty-six billion, eight hundred eighty-six million, eight hundred eighty", and thus it is an aban number.