27742256523 has 12 divisors (see below), whose sum is σ = 41049518328. Its totient is φ = 18043743840.

The previous prime is 27742256501. The next prime is 27742256537. The reversal of 27742256523 is 32565224772.

27742256523 is a `hidden beast` number, since 2 + 7 + 74 + 2 + 2 + 56 + 523 = 666.

It is not a de Polignac number, because 27742256523 - 2⁵ = 27742256491 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27742256543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37590765 + ... + 37591502.

It is an arithmetic number, because the mean of its divisors is an integer number (3420793194).

Almost surely, 2^27742256523 is an apocalyptic number.

27742256523 is a deficient number, since it is larger than the sum of its proper divisors (13307261805).

27742256523 is a wasteful number, since it uses less digits than its factorization.

27742256523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75182314 (or 75182311 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 45.

The spelling of 27742256523 in words is "twenty-seven billion, seven hundred forty-two million, two hundred fifty-six thousand, five hundred twenty-three".