166346271120800 has 72 divisors (see below), whose sum is σ = 406140408475200. Its totient is φ = 66530713409280.

The previous prime is 166346271120781. The next prime is 166346271120847. The reversal of 166346271120800 is 8021172643661.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5344280 + ... + 19006679.

It is an arithmetic number, because the mean of its divisors is an integer number (5640839006600).

Almost surely, 2^{166346271120800} is an apocalyptic number.

166346271120800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166346271120800 is an abundant number, since it is smaller than the sum of its proper divisors (239794137354400).

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

166346271120800 is a wasteful number, since it uses less digits than its factorization.

166346271120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24359518 (or 24359505 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 166346271120800 in words is "one hundred sixty-six trillion, three hundred forty-six billion, two hundred seventy-one million, one hundred twenty thousand, eight hundred".