166988876606928 has 160 divisors (see below), whose sum is σ = 489939199027200. Its totient is φ = 54431789698944.

The previous prime is 166988876606899. The next prime is 166988876606977. The reversal of 166988876606928 is 829606678889661.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20077683 + ... + 27149421.

It is an arithmetic number, because the mean of its divisors is an integer number (3062119993920).

Almost surely, 2^{166988876606928} is an apocalyptic number.

166988876606928 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 166988876606928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244969599513600).

166988876606928 is an abundant number, since it is smaller than the sum of its proper divisors (322950322420272).

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

166988876606928 is a wasteful number, since it uses less digits than its factorization.

166988876606928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072966 (or 7072954 counting only the distinct ones).

The product of its (nonzero) digits is 36118462464, while the sum is 90.

The spelling of 166988876606928 in words is "one hundred sixty-six trillion, nine hundred eighty-eight billion, eight hundred seventy-six million, six hundred six thousand, nine hundred twenty-eight".