12772430577 has 24 divisors (see below), whose sum is σ = 19019505960. Its totient is φ = 8254321920.

The previous prime is 12772430563. The next prime is 12772430597. The reversal of 12772430577 is 77503427721.

12772430577 is a `hidden beast` number, since 1 + 2 + 7 + 72 + 4 + 3 + 0 + 577 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1364268096 + 11408162481 = 36936^2 + 106809^2 .

It is not a de Polignac number, because 12772430577 - 2³⁰ = 11698688753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12772430537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52302 + ... + 168167.

It is an arithmetic number, because the mean of its divisors is an integer number (792479415).

Almost surely, 2^12772430577 is an apocalyptic number.

It is an amenable number.

12772430577 is a deficient number, since it is larger than the sum of its proper divisors (6247075383).

12772430577 is a wasteful number, since it uses less digits than its factorization.

12772430577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220673 (or 220670 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The spelling of 12772430577 in words is "twelve billion, seven hundred seventy-two million, four hundred thirty thousand, five hundred seventy-seven".