27276138288 has 400 divisors, whose sum is σ = 95733682176. Its totient is φ = 7328724480.

The previous prime is 27276138269. The next prime is 27276138289. The reversal of 27276138288 is 88283167272.

27276138288 is a `hidden beast` number, since 272 + 7 + 61 + 38 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (27276138289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12726945 + ... + 12729087.

Almost surely, 2^27276138288 is an apocalyptic number.

27276138288 is a gapful number since it is divisible by the number (28) 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 27276138288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47866841088).

27276138288 is an abundant number, since it is smaller than the sum of its proper divisors (68457543888).

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

27276138288 is a wasteful number, since it uses less digits than its factorization.

27276138288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2239 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 27276138288 in words is "twenty-seven billion, two hundred seventy-six million, one hundred thirty-eight thousand, two hundred eighty-eight".