166116688272 has 100 divisors (see below), whose sum is σ = 481830053760. Its totient is φ = 55252435392.

The previous prime is 166116688253. The next prime is 166116688273. The reversal of 166116688272 is 272886611661.

166116688272 is a `hidden beast` number, since 16 + 611 + 6 + 6 + 8 + 8 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (166116688273) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 461629 + ... + 738467.

Almost surely, 2^166116688272 is an apocalyptic number.

166116688272 is a gapful number since it is divisible by the number (12) 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 166116688272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240915026880).

166116688272 is an abundant number, since it is smaller than the sum of its proper divisors (315713365488).

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

166116688272 is a wasteful number, since it uses less digits than its factorization.

166116688272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277322 (or 277307 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 166116688272 in words is "one hundred sixty-six billion, one hundred sixteen million, six hundred eighty-eight thousand, two hundred seventy-two".