27202020272 has 80 divisors (see below), whose sum is σ = 61441400832. Its totient is φ = 11426365440.

The previous prime is 27202020221. The next prime is 27202020277.

27202020272 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (27202020277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1169072 + ... + 1192112.

Almost surely, 2^27202020272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27202020272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30720700416).

27202020272 is an abundant number, since it is smaller than the sum of its proper divisors (34239380560).

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

27202020272 is a wasteful number, since it uses less digits than its factorization.

27202020272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23266 (or 23260 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

It can be divided in two parts, 272020 and 20272, that added together give a palindrome (292292).

The spelling of 27202020272 in words is "twenty-seven billion, two hundred two million, twenty thousand, two hundred seventy-two".