166214928000 has 512 divisors, whose sum is σ = 627273953280. Its totient is φ = 38539776000.

The previous prime is 166214927993. The next prime is 166214928083. The reversal of 166214928000 is 829412661.

It is a self number, because there is not a number n which added to its sum of digits gives 166214928000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12137157 + ... + 12150843.

It is an arithmetic number, because the mean of its divisors is an integer number (1225144440).

Almost surely, 2^166214928000 is an apocalyptic number.

166214928000 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 166214928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313636976640).

166214928000 is an abundant number, since it is smaller than the sum of its proper divisors (461059025280).

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

166214928000 is a wasteful number, since it uses less digits than its factorization.

166214928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13753 (or 13731 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 166214928000 in words is "one hundred sixty-six billion, two hundred fourteen million, nine hundred twenty-eight thousand".