27936182549961 has 243 divisors, whose sum is σ = 50848018155207. Its totient is φ = 14735041896960.

The previous prime is 27936182549959. The next prime is 27936182549971. The reversal of 27936182549961 is 16994528163972.

The square root of 27936182549961 is 5285469.

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

27936182549961 is a `hidden beast` number, since 2 + 7 + 9 + 3 + 6 + 18 + 2 + 549 + 9 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11349655655625 + 16586526894336 = 3368925^2 + 4072656^2 .

It is not a de Polignac number, because 27936182549961 - 2¹ = 27936182549959 is a prime.

It is a super-2 number, since 2×27936182549961² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27936182549961.

It is not an unprimeable number, because it can be changed into a prime (27936182549921) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 79139327161 + ... + 79139327513.

Almost surely, 2^{27936182549961} is an apocalyptic number.

27936182549961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

27936182549961 is the 5285469-th square number.

27936182549961 is the 2642735-th centered octagonal number.

It is an amenable number.

27936182549961 is a deficient number, since it is larger than the sum of its proper divisors (22911835605246).

27936182549961 is an equidigital number, since it uses as much as digits as its factorization.

27936182549961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 417 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 27936182549961 in words is "twenty-seven trillion, nine hundred thirty-six billion, one hundred eighty-two million, five hundred forty-nine thousand, nine hundred sixty-one".