27916194682131 has 144 divisors (see below), whose sum is σ = 46022448789504. Its totient is φ = 14998946256000.

The previous prime is 27916194682091. The next prime is 27916194682163. The reversal of 27916194682131 is 13128649161972.

It is not a de Polignac number, because 27916194682131 - 2⁶ = 27916194682067 is a prime.

It is a super-2 number, since 2×27916194682131² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27916194682931) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1160213841 + ... + 1160237901.

It is an arithmetic number, because the mean of its divisors is an integer number (319600338816).

Almost surely, 2^{27916194682131} is an apocalyptic number.

27916194682131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

27916194682131 is a deficient number, since it is larger than the sum of its proper divisors (18106254107373).

27916194682131 is a wasteful number, since it uses less digits than its factorization.

27916194682131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24374 (or 24336 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 60.

The spelling of 27916194682131 in words is "twenty-seven trillion, nine hundred sixteen billion, one hundred ninety-four million, six hundred eighty-two thousand, one hundred thirty-one".