27137243285775 has 144 divisors (see below), whose sum is σ = 58827229905600. Its totient is φ = 11673849876480.

The previous prime is 27137243285767. The next prime is 27137243285777. The reversal of 27137243285775 is 57758234273172.

27137243285775 is a `hidden beast` number, since 2 + 7 + 1 + 3 + 7 + 24 + 32 + 8 + 577 + 5 = 666.

It is not a de Polignac number, because 27137243285775 - 2³ = 27137243285767 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27137243285777) 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 143 ways as a sum of consecutive naturals, for example, 161342421 + ... + 161510529.

It is an arithmetic number, because the mean of its divisors is an integer number (408522429900).

Almost surely, 2^{27137243285775} is an apocalyptic number.

27137243285775 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27137243285775 is an abundant number, since it is smaller than the sum of its proper divisors (31689986619825).

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

27137243285775 is a wasteful number, since it uses less digits than its factorization.

27137243285775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174178 (or 174170 counting only the distinct ones).

The product of its digits is 138297600, while the sum is 63.

The spelling of 27137243285775 in words is "twenty-seven trillion, one hundred thirty-seven billion, two hundred forty-three million, two hundred eighty-five thousand, seven hundred seventy-five".