11232809018400 has 576 divisors, whose sum is σ = 38916389191680. Its totient is φ = 2807936102400.

The previous prime is 11232809018393. The next prime is 11232809018467. The reversal of 11232809018400 is 481090823211.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3601412041 + ... + 3601415159.

It is an arithmetic number, because the mean of its divisors is an integer number (67563175680).

Almost surely, 2^{11232809018400} is an apocalyptic number.

11232809018400 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 11232809018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458194595840).

11232809018400 is an abundant number, since it is smaller than the sum of its proper divisors (27683580173280).

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

11232809018400 is a wasteful number, since it uses less digits than its factorization.

11232809018400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 11232809018400 in words is "eleven trillion, two hundred thirty-two billion, eight hundred nine million, eighteen thousand, four hundred".