27536872028868 has 108 divisors (see below), whose sum is σ = 71545318420212. Its totient is φ = 8930115025920.

The previous prime is 27536872028867. The next prime is 27536872028921. The reversal of 27536872028868 is 86882027863572.

27536872028868 is a `hidden beast` number, since 2 + 7 + 536 + 8 + 7 + 2 + 0 + 2 + 8 + 86 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7306955047044 + 20229916981824 = 2703138^2 + 4497768^2 .

It is a super-2 number, since 2×27536872028868² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27536872028796 and 27536872028805.

It is not an unprimeable number, because it can be changed into a prime (27536872028867) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1019228896 + ... + 1019255912.

It is an arithmetic number, because the mean of its divisors is an integer number (662456652039).

Almost surely, 2^{27536872028868} 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 27536872028868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35772659210106).

27536872028868 is an abundant number, since it is smaller than the sum of its proper divisors (44008446391344).

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

27536872028868 is a wasteful number, since it uses less digits than its factorization.

27536872028868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47782 (or 47740 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 27536872028868 in words is "twenty-seven trillion, five hundred thirty-six billion, eight hundred seventy-two million, twenty-eight thousand, eight hundred sixty-eight".