12771600516 has 18 divisors (see below), whose sum is σ = 32283768062. Its totient is φ = 4257200160.

The previous prime is 12771600511. The next prime is 12771600539. The reversal of 12771600516 is 61500617721.

12771600516 is a `hidden beast` number, since 12 + 7 + 71 + 60 + 0 + 516 = 666.

12771600516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12267777600 + 503822916 = 110760^2 + 22446^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×12771600516² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 354766681 = 12771600516 / (1 + 2 + 7 + 7 + 1 + 6 + 0 + 0 + 5 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (12771600511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 177383305 + ... + 177383376.

Almost surely, 2^12771600516 is an apocalyptic number.

It is an amenable number.

12771600516 is an abundant number, since it is smaller than the sum of its proper divisors (19512167546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12771600516 is a wasteful number, since it uses less digits than its factorization.

12771600516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354766691 (or 354766686 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 12771600516 in words is "twelve billion, seven hundred seventy-one million, six hundred thousand, five hundred sixteen".