27135688653172 has 48 divisors (see below), whose sum is σ = 52882046429184. Its totient is φ = 12080145420000.

The previous prime is 27135688653167. The next prime is 27135688653187.

It is a happy number.

27135688653172 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×27135688653172³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28290528 + ... + 29233975.

It is an arithmetic number, because the mean of its divisors is an integer number (1101709300608).

Almost surely, 2^{27135688653172} is an apocalyptic number.

27135688653172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27135688653172 is a deficient number, since it is larger than the sum of its proper divisors (25746357776012).

27135688653172 is a wasteful number, since it uses less digits than its factorization.

27135688653172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57524740 (or 57524738 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 64.

The spelling of 27135688653172 in words is "twenty-seven trillion, one hundred thirty-five billion, six hundred eighty-eight million, six hundred fifty-three thousand, one hundred seventy-two".