27661114129131 has 48 divisors (see below), whose sum is σ = 46654796418048. Its totient is φ = 15463259683200.

The previous prime is 27661114129111. The next prime is 27661114129247. The reversal of 27661114129131 is 13192141116672.

27661114129131 is a `hidden beast` number, since 2 + 7 + 6 + 6 + 111 + 412 + 91 + 31 = 666.

It is not a de Polignac number, because 27661114129131 - 2⁶ = 27661114129067 is a prime.

It is a super-2 number, since 2×27661114129131² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27661114129111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4706296 + ... + 8801786.

It is an arithmetic number, because the mean of its divisors is an integer number (971974925376).

Almost surely, 2^{27661114129131} is an apocalyptic number.

27661114129131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

27661114129131 is a deficient number, since it is larger than the sum of its proper divisors (18993682288917).

27661114129131 is a wasteful number, since it uses less digits than its factorization.

27661114129131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097832 (or 4097829 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The spelling of 27661114129131 in words is "twenty-seven trillion, six hundred sixty-one billion, one hundred fourteen million, one hundred twenty-nine thousand, one hundred thirty-one".