27166111166172 has 48 divisors (see below), whose sum is σ = 69150406010112. Its totient is φ = 8232118606080.

The previous prime is 27166111166171. The next prime is 27166111166209.

27166111166172 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27166111166171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59407588 + ... + 59863124.

It is an arithmetic number, because the mean of its divisors is an integer number (1440633458544).

Almost surely, 2^{27166111166172} is an apocalyptic number.

27166111166172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27166111166172 is an abundant number, since it is smaller than the sum of its proper divisors (41984294843940).

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

27166111166172 is a wasteful number, since it uses less digits than its factorization.

27166111166172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907338 (or 907336 counting only the distinct ones).

The product of its digits is 254016, while the sum is 48.

The spelling of 27166111166172 in words is "twenty-seven trillion, one hundred sixty-six billion, one hundred eleven million, one hundred sixty-six thousand, one hundred seventy-two".