166119189120 has 1024 divisors, whose sum is σ = 644861952000. Its totient is φ = 40290877440.

The previous prime is 166119189109. The next prime is 166119189121. The reversal of 166119189120 is 21981911661.

166119189120 is a `hidden beast` number, since 1 + 6 + 611 + 9 + 1 + 8 + 9 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (166119189121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1195102011 + ... + 1195102149.

It is an arithmetic number, because the mean of its divisors is an integer number (629748000).

Almost surely, 2^166119189120 is an apocalyptic number.

166119189120 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 166119189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322430976000).

166119189120 is an abundant number, since it is smaller than the sum of its proper divisors (478742762880).

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

166119189120 is a wasteful number, since it uses less digits than its factorization.

166119189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The spelling of 166119189120 in words is "one hundred sixty-six billion, one hundred nineteen million, one hundred eighty-nine thousand, one hundred twenty".