166161993900 has 576 divisors, whose sum is σ = 606377856000. Its totient is φ = 34993244160.

The previous prime is 166161993859. The next prime is 166161993901. The reversal of 166161993900 is 9399161661.

It is not an unprimeable number, because it can be changed into a prime (166161993901) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72337552 + ... + 72339848.

Almost surely, 2^166161993900 is an apocalyptic number.

166161993900 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 166161993900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303188928000).

166161993900 is an abundant number, since it is smaller than the sum of its proper divisors (440215862100).

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

166161993900 is a wasteful number, since it uses less digits than its factorization.

166161993900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 51.

The spelling of 166161993900 in words is "one hundred sixty-six billion, one hundred sixty-one million, nine hundred ninety-three thousand, nine hundred".