27406117172 has 48 divisors (see below), whose sum is σ = 56288214528. Its totient is φ = 11431964160.

The previous prime is 27406117157. The next prime is 27406117177. The reversal of 27406117172 is 27171160472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27406117177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180668 + ... + 295724.

It is an arithmetic number, because the mean of its divisors is an integer number (1172671136).

Almost surely, 2^27406117172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27406117172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28144107264).

27406117172 is an abundant number, since it is smaller than the sum of its proper divisors (28882097356).

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

27406117172 is a wasteful number, since it uses less digits than its factorization.

27406117172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115296 (or 115294 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 38.

The spelling of 27406117172 in words is "twenty-seven billion, four hundred six million, one hundred seventeen thousand, one hundred seventy-two".