11829852765 has 160 divisors (see below), whose sum is σ = 22539686400. Its totient is φ = 5929168896.

The previous prime is 11829852733. The next prime is 11829852767. The reversal of 11829852765 is 56725892811.

11829852765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11829852765 - 2⁵ = 11829852733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11829852767) 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 159 ways as a sum of consecutive naturals, for example, 79394911 + ... + 79395059.

It is an arithmetic number, because the mean of its divisors is an integer number (140873040).

Almost surely, 2^11829852765 is an apocalyptic number.

11829852765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11829852765 is a deficient number, since it is larger than the sum of its proper divisors (10709833635).

11829852765 is a wasteful number, since it uses less digits than its factorization.

11829852765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 344 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 11829852765 in words is "eleven billion, eight hundred twenty-nine million, eight hundred fifty-two thousand, seven hundred sixty-five".