27513312555663 has 192 divisors, whose sum is σ = 49373528555520. Its totient is φ = 14558278521600.

The previous prime is 27513312555649. The next prime is 27513312555691. The reversal of 27513312555663 is 36655521331572.

27513312555663 is a `hidden beast` number, since 2 + 7 + 5 + 1 + 3 + 3 + 1 + 25 + 556 + 63 = 666.

It is not a de Polignac number, because 27513312555663 - 2¹⁰ = 27513312554639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27513312555613) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 304396545 + ... + 304486917.

It is an arithmetic number, because the mean of its divisors is an integer number (257153794560).

Almost surely, 2^{27513312555663} is an apocalyptic number.

27513312555663 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

27513312555663 is a deficient number, since it is larger than the sum of its proper divisors (21860215999857).

27513312555663 is a wasteful number, since it uses less digits than its factorization.

27513312555663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90690 (or 90687 counting only the distinct ones).

The product of its digits is 17010000, while the sum is 54.

The spelling of 27513312555663 in words is "twenty-seven trillion, five hundred thirteen billion, three hundred twelve million, five hundred fifty-five thousand, six hundred sixty-three".