166005731400 has 48 divisors (see below), whose sum is σ = 514617769200. Its totient is φ = 44268194880.

The previous prime is 166005731389. The next prime is 166005731401. The reversal of 166005731400 is 4137500661.

166005731400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (166005731401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138337510 + ... + 138338709.

It is an arithmetic number, because the mean of its divisors is an integer number (10721203525).

Almost surely, 2^166005731400 is an apocalyptic number.

166005731400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166005731400 is an abundant number, since it is smaller than the sum of its proper divisors (348612037800).

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

166005731400 is a wasteful number, since it uses less digits than its factorization.

166005731400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276676238 (or 276676229 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 166005731400 in words is "one hundred sixty-six billion, five million, seven hundred thirty-one thousand, four hundred".