11525767824 has 40 divisors (see below), whose sum is σ = 29796356800. Its totient is φ = 3839154048.

The previous prime is 11525767819. The next prime is 11525767829. The reversal of 11525767824 is 42876752511.

11525767824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11525767819) and next prime (11525767829).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11525767829) 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 7 ways as a sum of consecutive naturals, for example, 18667 + ... + 152970.

It is an arithmetic number, because the mean of its divisors is an integer number (744908920).

Almost surely, 2^11525767824 is an apocalyptic number.

It is an amenable number.

11525767824 is an abundant number, since it is smaller than the sum of its proper divisors (18270588976).

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

11525767824 is a wasteful number, since it uses less digits than its factorization.

11525767824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173047 (or 173041 counting only the distinct ones).

The product of its digits is 940800, while the sum is 48.

The spelling of 11525767824 in words is "eleven billion, five hundred twenty-five million, seven hundred sixty-seven thousand, eight hundred twenty-four".