27136577281284 has 243 divisors, whose sum is σ = 71614073400597. Its totient is φ = 8664071169600.

The previous prime is 27136577281213. The next prime is 27136577281301. The reversal of 27136577281284 is 48218277563172.

The square root of 27136577281284 is 5209278.

It is a perfect power (a square), and thus also a powerful number.

27136577281284 is a `hidden beast` number, since 2 + 7 + 1 + 3 + 6 + 5 + 77 + 281 + 284 = 666.

It can be written as a sum of positive squares in only one way, i.e., 882431026884 + 26254146254400 = 939378^2 + 5123880^2 .

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 81983616999 + ... + 81983617329.

Almost surely, 2^{27136577281284} is an apocalyptic number.

27136577281284 is the 5209278-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27136577281284

27136577281284 is an abundant number, since it is smaller than the sum of its proper divisors (44477496119313).

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

27136577281284 is an equidigital number, since it uses as much as digits as its factorization.

27136577281284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 440 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The spelling of 27136577281284 in words is "twenty-seven trillion, one hundred thirty-six billion, five hundred seventy-seven million, two hundred eighty-one thousand, two hundred eighty-four".