166617907200 has 864 divisors, whose sum is σ = 639770495520. Its totient is φ = 42998169600.

The previous prime is 166617907189. The next prime is 166617907201. The reversal of 166617907200 is 2709716661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166617907201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5374771185 + ... + 5374771215.

Almost surely, 2^166617907200 is an apocalyptic number.

166617907200 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 166617907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319885247760).

166617907200 is an abundant number, since it is smaller than the sum of its proper divisors (473152588320).

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

166617907200 is an frugal number, since it uses more digits than its factorization.

166617907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 166617907200 in words is "one hundred sixty-six billion, six hundred seventeen million, nine hundred seven thousand, two hundred".