66171612100 has 72 divisors (see below), whose sum is σ = 160289303328. Its totient is φ = 23502796800.

The previous prime is 66171612049. The next prime is 66171612103. The reversal of 66171612100 is 121617166.

It is a super-3 number, since 3×66171612100³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (66171612103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652189 + ... + 746788.

It is an arithmetic number, because the mean of its divisors is an integer number (2226240324).

Almost surely, 2^66171612100 is an apocalyptic number.

It is an amenable number.

66171612100 is an abundant number, since it is smaller than the sum of its proper divisors (94117691228).

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

66171612100 is a wasteful number, since it uses less digits than its factorization.

66171612100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399045 (or 1399038 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 66171612100 in words is "sixty-six billion, one hundred seventy-one million, six hundred twelve thousand, one hundred".