11829509776 has 40 divisors (see below), whose sum is σ = 27332786304. Its totient is φ = 4849363200.

The previous prime is 11829509761. The next prime is 11829509777. The reversal of 11829509776 is 67790592811.

It is a happy number.

11829509776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11829509777) 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, 2293525 + ... + 2298676.

Almost surely, 2^11829509776 is an apocalyptic number.

11829509776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11829509776 is an abundant number, since it is smaller than the sum of its proper divisors (15503276528).

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

11829509776 is a wasteful number, since it uses less digits than its factorization.

11829509776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592239 (or 4592233 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 55.

The spelling of 11829509776 in words is "eleven billion, eight hundred twenty-nine million, five hundred nine thousand, seven hundred seventy-six".