27135344353172 has 96 divisors (see below), whose sum is σ = 56308331520000. Its totient is φ = 11304335548800.

The previous prime is 27135344353147. The next prime is 27135344353213.

It is a happy number.

27135344353172 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×27135344353172³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27135344353172.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77547518 + ... + 77896650.

It is an arithmetic number, because the mean of its divisors is an integer number (586545120000).

Almost surely, 2^{27135344353172} is an apocalyptic number.

27135344353172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27135344353172 is an abundant number, since it is smaller than the sum of its proper divisors (29172987166828).

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

27135344353172 is a wasteful number, since it uses less digits than its factorization.

27135344353172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352197 (or 352195 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 50.

The spelling of 27135344353172 in words is "twenty-seven trillion, one hundred thirty-five billion, three hundred forty-four million, three hundred fifty-three thousand, one hundred seventy-two".