11329984019200 has 432 divisors, whose sum is σ = 35007646867200. Its totient is φ = 3526944768000.

The previous prime is 11329984019191. The next prime is 11329984019257. The reversal of 11329984019200 is 291048992311.

11329984019200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399646626 + ... + 399674974.

It is an arithmetic number, because the mean of its divisors is an integer number (81036219600).

Almost surely, 2^{11329984019200} is an apocalyptic number.

11329984019200 is a gapful number since it is divisible by the number (10) 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 11329984019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503823433600).

11329984019200 is an abundant number, since it is smaller than the sum of its proper divisors (23677662848000).

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

11329984019200 is a wasteful number, since it uses less digits than its factorization.

11329984019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29204 (or 29185 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 49.

The spelling of 11329984019200 in words is "eleven trillion, three hundred twenty-nine billion, nine hundred eighty-four million, nineteen thousand, two hundred".