27271350136377 has 48 divisors (see below), whose sum is σ = 42269668721280. Its totient is φ = 17549774928000.

The previous prime is 27271350136351. The next prime is 27271350136403. The reversal of 27271350136377 is 77363105317272.

27271350136377 is a `hidden beast` number, since 2 + 7 + 2 + 7 + 1 + 3 + 501 + 3 + 63 + 77 = 666.

It is an interprime number because it is at equal distance from previous prime (27271350136351) and next prime (27271350136403).

It is not a de Polignac number, because 27271350136377 - 2¹⁶ = 27271350070841 is a prime.

It is a super-2 number, since 2×27271350136377² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27271350134377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29143852 + ... + 30065042.

It is an arithmetic number, because the mean of its divisors is an integer number (880618098360).

Almost surely, 2^{27271350136377} is an apocalyptic number.

27271350136377 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

27271350136377 is a deficient number, since it is larger than the sum of its proper divisors (14998318584903).

27271350136377 is an equidigital number, since it uses as much as digits as its factorization.

27271350136377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925436 (or 925424 counting only the distinct ones).

The product of its (nonzero) digits is 7779240, while the sum is 54.

The spelling of 27271350136377 in words is "twenty-seven trillion, two hundred seventy-one billion, three hundred fifty million, one hundred thirty-six thousand, three hundred seventy-seven".