66171000017166 has 128 divisors (see below), whose sum is σ = 146828318146560. Its totient is φ = 19713056563200.

The previous prime is 66171000017159. The next prime is 66171000017183.

66171000017166 is nontrivially palindromic in base 10.

66171000017166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3922165711 + ... + 3922182581.

It is an arithmetic number, because the mean of its divisors is an integer number (1147096235520).

Almost surely, 2^{66171000017166} is an apocalyptic number.

66171000017166 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66171000017166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73414159073280).

66171000017166 is an abundant number, since it is smaller than the sum of its proper divisors (80657318129394).

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

66171000017166 is a wasteful number, since it uses less digits than its factorization.

66171000017166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20150.

The product of its (nonzero) digits is 63504, while the sum is 42.

It can be divided in two parts, 661710000 and 17166, that added together give a palindrome (661727166).

The spelling of 66171000017166 in words is "sixty-six trillion, one hundred seventy-one billion, seventeen thousand, one hundred sixty-six".