166173204800 has 168 divisors, whose sum is σ = 435820230720. Its totient is φ = 62143488000.

The previous prime is 166173204787. The next prime is 166173204833. The reversal of 166173204800 is 8402371661.

It is a super-2 number, since 2×166173204800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4086971 + ... + 4127429.

It is an arithmetic number, because the mean of its divisors is an integer number (2594168040).

Almost surely, 2^166173204800 is an apocalyptic number.

166173204800 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 166173204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217910115360).

166173204800 is an abundant number, since it is smaller than the sum of its proper divisors (269647025920).

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

166173204800 is a wasteful number, since it uses less digits than its factorization.

166173204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40649 (or 40634 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 166173204800 in words is "one hundred sixty-six billion, one hundred seventy-three million, two hundred four thousand, eight hundred".