11320585684800 has 1344 divisors, whose sum is σ = 47284516454400. Its totient is φ = 2311555276800.

The previous prime is 11320585684799. The next prime is 11320585684831. The reversal of 11320585684800 is 848658502311.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1042501771 + ... + 1042512629.

Almost surely, 2^{11320585684800} is an apocalyptic number.

11320585684800 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 11320585684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23642258227200).

11320585684800 is an abundant number, since it is smaller than the sum of its proper divisors (35963930769600).

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

11320585684800 is a wasteful number, since it uses less digits than its factorization.

11320585684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11004 (or 10989 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The spelling of 11320585684800 in words is "eleven trillion, three hundred twenty billion, five hundred eighty-five million, six hundred eighty-four thousand, eight hundred".