11321049600 has 720 divisors, whose sum is σ = 47097610560. Its totient is φ = 2543616000.

The previous prime is 11321049599. The next prime is 11321049617. The reversal of 11321049600 is 694012311.

11321049600 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 10 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81446331 + ... + 81446469.

It is an arithmetic number, because the mean of its divisors is an integer number (65413348).

Almost surely, 2^11321049600 is an apocalyptic number.

11321049600 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 11321049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23548805280).

11321049600 is an abundant number, since it is smaller than the sum of its proper divisors (35776560960).

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

11321049600 is a wasteful number, since it uses less digits than its factorization.

11321049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 11321049600 in words is "eleven billion, three hundred twenty-one million, forty-nine thousand, six hundred".