27253866835272 has 256 divisors, whose sum is σ = 85237401600000. Its totient is φ = 7054761288960.

The previous prime is 27253866835271. The next prime is 27253866835291.

27253866835272 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (27253866835271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1127158879 + ... + 1127183057.

It is an arithmetic number, because the mean of its divisors is an integer number (332958600000).

Almost surely, 2^{27253866835272} is an apocalyptic number.

27253866835272 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 27253866835272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42618700800000).

27253866835272 is an abundant number, since it is smaller than the sum of its proper divisors (57983534764728).

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

27253866835272 is a wasteful number, since it uses less digits than its factorization.

27253866835272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26264 (or 26260 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 66.

The spelling of 27253866835272 in words is "twenty-seven trillion, two hundred fifty-three billion, eight hundred sixty-six million, eight hundred thirty-five thousand, two hundred seventy-two".