27266988966272 has 128 divisors (see below), whose sum is σ = 59372030052000. Its totient is φ = 12370507776000.

The previous prime is 27266988966251. The next prime is 27266988966277.

27266988966272 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (27266988966277) 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, 3611996354 + ... + 3612003902.

Almost surely, 2^{27266988966272} is an apocalyptic number.

27266988966272 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 27266988966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29686015026000).

27266988966272 is an abundant number, since it is smaller than the sum of its proper divisors (32105041085728).

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

27266988966272 is a wasteful number, since it uses less digits than its factorization.

27266988966272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12116 (or 12104 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 80.

The spelling of 27266988966272 in words is "twenty-seven trillion, two hundred sixty-six billion, nine hundred eighty-eight million, nine hundred sixty-six thousand, two hundred seventy-two".