166009507200 has 288 divisors, whose sum is σ = 592925275800. Its totient is φ = 44226969600.

The previous prime is 166009507151. The next prime is 166009507217. The reversal of 166009507200 is 2705900661.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40577155 + ... + 40581245.

Almost surely, 2^166009507200 is an apocalyptic number.

166009507200 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 166009507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296462637900).

166009507200 is an abundant number, since it is smaller than the sum of its proper divisors (426915768600).

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

166009507200 is a wasteful number, since it uses less digits than its factorization.

166009507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5530 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 166009507200 in words is "one hundred sixty-six billion, nine million, five hundred seven thousand, two hundred".