27768540141 has 96 divisors (see below), whose sum is σ = 42847833600. Its totient is φ = 17312486400.

The previous prime is 27768540133. The next prime is 27768540179. The reversal of 27768540141 is 14104586772.

27768540141 is a `hidden beast` number, since 2 + 7 + 7 + 68 + 540 + 1 + 41 = 666.

It is not a de Polignac number, because 27768540141 - 2³ = 27768540133 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27768542141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254757195 + ... + 254757303.

It is an arithmetic number, because the mean of its divisors is an integer number (446331600).

Almost surely, 2^27768540141 is an apocalyptic number.

It is an amenable number.

27768540141 is a deficient number, since it is larger than the sum of its proper divisors (15079293459).

27768540141 is a wasteful number, since it uses less digits than its factorization.

27768540141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 27768540141 in words is "twenty-seven billion, seven hundred sixty-eight million, five hundred forty thousand, one hundred forty-one".