166006401800 has 48 divisors (see below), whose sum is σ = 386067672900. Its totient is φ = 66384876800.

The previous prime is 166006401791. The next prime is 166006401839. The reversal of 166006401800 is 8104600661.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 47065566916 + 118940834884 = 216946^2 + 344878^2 .

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, 655586 + ... + 872814.

Almost surely, 2^166006401800 is an apocalyptic number.

166006401800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166006401800 is an abundant number, since it is smaller than the sum of its proper divisors (220061271100).

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

166006401800 is a wasteful number, since it uses less digits than its factorization.

166006401800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221066 (or 221057 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 166006401800 in words is "one hundred sixty-six billion, six million, four hundred one thousand, eight hundred".