11564041977279 has 12 divisors (see below), whose sum is σ = 18222126752232. Its totient is φ = 7008510289200.

The previous prime is 11564041977259. The next prime is 11564041977283. The reversal of 11564041977279 is 97277914046511.

It is a happy number.

11564041977279 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 404 + 1 + 97 + 72 + 79 = 666.

It is not a de Polignac number, because 11564041977279 - 2⁸ = 11564041977023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11564041977209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58404252312 + ... + 58404252509.

It is an arithmetic number, because the mean of its divisors is an integer number (1518510562686).

Almost surely, 2^{11564041977279} is an apocalyptic number.

11564041977279 is a deficient number, since it is larger than the sum of its proper divisors (6658084774953).

11564041977279 is a wasteful number, since it uses less digits than its factorization.

11564041977279 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116808504838 (or 116808504835 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 11564041977279 in words is "eleven trillion, five hundred sixty-four billion, forty-one million, nine hundred seventy-seven thousand, two hundred seventy-nine".