27811333311872 has 128 divisors (see below), whose sum is σ = 63149361004800. Its totient is φ = 12076701091840.

The previous prime is 27811333311871. The next prime is 27811333311893.

27811333311872 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×27811333311872² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27811333311872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27811333311871) 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, 25271279 + ... + 26348817.

It is an arithmetic number, because the mean of its divisors is an integer number (493354382850).

Almost surely, 2^{27811333311872} is an apocalyptic number.

27811333311872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27811333311872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31574680502400).

27811333311872 is an abundant number, since it is smaller than the sum of its proper divisors (35338027692928).

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

27811333311872 is a wasteful number, since it uses less digits than its factorization.

27811333311872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078384 (or 1078372 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 50.

The spelling of 27811333311872 in words is "twenty-seven trillion, eight hundred eleven billion, three hundred thirty-three million, three hundred eleven thousand, eight hundred seventy-two".