27642135205503 has 48 divisors (see below), whose sum is σ = 50961632024576. Its totient is φ = 14580466909920.

The previous prime is 27642135205453. The next prime is 27642135205543. The reversal of 27642135205503 is 30550253124672.

27642135205503 is a `hidden beast` number, since 2 + 7 + 6 + 4 + 2 + 135 + 2 + 0 + 5 + 503 = 666.

It is not a de Polignac number, because 27642135205503 - 2⁹ = 27642135204991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27642135205543) 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, 624997903 + ... + 625042128.

Almost surely, 2^{27642135205503} is an apocalyptic number.

27642135205503 is a deficient number, since it is larger than the sum of its proper divisors (23319496819073).

27642135205503 is a wasteful number, since it uses less digits than its factorization.

27642135205503 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250040066 (or 1250040054 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 27642135205503 in words is "twenty-seven trillion, six hundred forty-two billion, one hundred thirty-five million, two hundred five thousand, five hundred three".