166218990720 has 256 divisors, whose sum is σ = 555370905600. Its totient is φ = 42205261824.

The previous prime is 166218990649. The next prime is 166218990827. The reversal of 166218990720 is 27099812661.

It is a super-2 number, since 2×166218990720² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9839241 + ... + 9856119.

It is an arithmetic number, because the mean of its divisors is an integer number (2169417600).

Almost surely, 2^166218990720 is an apocalyptic number.

166218990720 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 166218990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277685452800).

166218990720 is an abundant number, since it is smaller than the sum of its proper divisors (389151914880).

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

166218990720 is a wasteful number, since it uses less digits than its factorization.

166218990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17147 (or 17135 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 166218990720 in words is "one hundred sixty-six billion, two hundred eighteen million, nine hundred ninety thousand, seven hundred twenty".