11772827264 has 64 divisors (see below), whose sum is σ = 25715016000. Its totient is φ = 5324267520.

The previous prime is 11772827239. The next prime is 11772827273. The reversal of 11772827264 is 46272827711.

11772827264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 259184 + ... + 301200.

It is an arithmetic number, because the mean of its divisors is an integer number (401797125).

Almost surely, 2^11772827264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11772827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12857508000).

11772827264 is an abundant number, since it is smaller than the sum of its proper divisors (13942188736).

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

11772827264 is a wasteful number, since it uses less digits than its factorization.

11772827264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42241 (or 42229 counting only the distinct ones).

The product of its digits is 526848, while the sum is 47.

The spelling of 11772827264 in words is "eleven billion, seven hundred seventy-two million, eight hundred twenty-seven thousand, two hundred sixty-four".