11829506304 has 648 divisors, whose sum is σ = 43360549344. Its totient is φ = 2821324800.

The previous prime is 11829506291. The next prime is 11829506369. The reversal of 11829506304 is 40360592811.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 288524524 + ... + 288524564.

It is an arithmetic number, because the mean of its divisors is an integer number (66914428).

Almost surely, 2^11829506304 is an apocalyptic number.

11829506304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11829506304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21680274672).

11829506304 is an abundant number, since it is smaller than the sum of its proper divisors (31531043040).

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

11829506304 is a wasteful number, since it uses less digits than its factorization.

11829506304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 11829506304 in words is "eleven billion, eight hundred twenty-nine million, five hundred six thousand, three hundred four".