27160406172 has 36 divisors (see below), whose sum is σ = 69622456176. Its totient is φ = 8925954240.

The previous prime is 27160406137. The next prime is 27160406183.

27160406172 is a `hidden beast` number, since 27 + 1 + 60 + 406 + 172 = 666.

27160406172 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5310513 + ... + 5315624.

It is an arithmetic number, because the mean of its divisors is an integer number (1933957116).

Almost surely, 2^27160406172 is an apocalyptic number.

It is an amenable number.

27160406172 is an abundant number, since it is smaller than the sum of its proper divisors (42462050004).

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

27160406172 is a wasteful number, since it uses less digits than its factorization.

27160406172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10626218 (or 10626213 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 27160406172 in words is "twenty-seven billion, one hundred sixty million, four hundred six thousand, one hundred seventy-two".