166270328627200 has 1008 divisors, whose sum is σ = 494099768648880. Its totient is φ = 55298406481920.

The previous prime is 166270328627147. The next prime is 166270328627203. The reversal of 166270328627200 is 2726823072661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166270328627203) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 211271065207 + ... + 211271065993.

Almost surely, 2^{166270328627200} is an apocalyptic number.

166270328627200 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 166270328627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247049884324440).

166270328627200 is an abundant number, since it is smaller than the sum of its proper divisors (327829440021680).

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

166270328627200 is an equidigital number, since it uses as much as digits as its factorization.

166270328627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 166270328627200 in words is "one hundred sixty-six trillion, two hundred seventy billion, three hundred twenty-eight million, six hundred twenty-seven thousand, two hundred".