27171017172 has 144 divisors (see below), whose sum is σ = 74899948032. Its totient is φ = 8255174400.

The previous prime is 27171017147. The next prime is 27171017239.

It is a happy number.

27171017172 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27171017172² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28691203 + ... + 28692149.

It is an arithmetic number, because the mean of its divisors is an integer number (520138528).

Almost surely, 2^27171017172 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 27171017172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37449974016).

27171017172 is an abundant number, since it is smaller than the sum of its proper divisors (47728930860).

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

27171017172 is a wasteful number, since it uses less digits than its factorization.

27171017172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 9604, while the sum is 36.

It can be divided in two parts, 271710 and 17172, that added together give a palindrome (288882).

The spelling of 27171017172 in words is "twenty-seven billion, one hundred seventy-one million, seventeen thousand, one hundred seventy-two".