27071481217704 has 128 divisors (see below), whose sum is σ = 84380423777280. Its totient is φ = 7031405145600.

The previous prime is 27071481217699. The next prime is 27071481217733. The reversal of 27071481217704 is 40771218417072.

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 31 ways as a sum of consecutive naturals, for example, 107818132 + ... + 108068924.

It is an arithmetic number, because the mean of its divisors is an integer number (659222060760).

Almost surely, 2^{27071481217704} is an apocalyptic number.

27071481217704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27071481217704 is an abundant number, since it is smaller than the sum of its proper divisors (57308942559576).

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

27071481217704 is a wasteful number, since it uses less digits than its factorization.

27071481217704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309231 (or 309227 counting only the distinct ones).

The product of its (nonzero) digits is 1229312, while the sum is 51.

It can be divided in two parts, 270714 and 81217704, that added together give a palindrome (81488418).

The spelling of 27071481217704 in words is "twenty-seven trillion, seventy-one billion, four hundred eighty-one million, two hundred seventeen thousand, seven hundred four".