27211344311272 has 64 divisors (see below), whose sum is σ = 55695302755200. Its totient is φ = 12360854016000.

The previous prime is 27211344311231. The next prime is 27211344311273.

27211344311272 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (27211344311273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1561080397 + ... + 1561097827.

It is an arithmetic number, because the mean of its divisors is an integer number (870239105550).

Almost surely, 2^{27211344311272} is an apocalyptic number.

27211344311272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27211344311272 is an abundant number, since it is smaller than the sum of its proper divisors (28483958443928).

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

27211344311272 is a wasteful number, since it uses less digits than its factorization.

27211344311272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27818 (or 27814 counting only the distinct ones).

The product of its digits is 112896, while the sum is 40.

The spelling of 27211344311272 in words is "twenty-seven trillion, two hundred eleven billion, three hundred forty-four million, three hundred eleven thousand, two hundred seventy-two".