27563152074257 has 64 divisors (see below), whose sum is σ = 30843983001600. Its totient is φ = 24518422241280.

The previous prime is 27563152074221. The next prime is 27563152074281. The reversal of 27563152074257 is 75247025136572.

It is a de Polignac number, because none of the positive numbers 2^k-27563152074257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27563172074257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3138234488 + ... + 3138243270.

It is an arithmetic number, because the mean of its divisors is an integer number (481937234400).

Almost surely, 2^{27563152074257} is an apocalyptic number.

It is an amenable number.

27563152074257 is a deficient number, since it is larger than the sum of its proper divisors (3280830927343).

27563152074257 is a wasteful number, since it uses less digits than its factorization.

27563152074257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9906.

The product of its (nonzero) digits is 24696000, while the sum is 56.

The spelling of 27563152074257 in words is "twenty-seven trillion, five hundred sixty-three billion, one hundred fifty-two million, seventy-four thousand, two hundred fifty-seven".