11320747200 has 1008 divisors, whose sum is σ = 50706040320. Its totient is φ = 2335703040.

The previous prime is 11320747187. The next prime is 11320747237. The reversal of 11320747200 is 274702311.

It is a happy number.

It is a Cunningham number, because it is equal to 106399²-1.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 44049472 + ... + 44049728.

Almost surely, 2^11320747200 is an apocalyptic number.

11320747200 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 11320747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25353020160).

11320747200 is an abundant number, since it is smaller than the sum of its proper divisors (39385293120).

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

11320747200 is a wasteful number, since it uses less digits than its factorization.

11320747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 11320747200 in words is "eleven billion, three hundred twenty million, seven hundred forty-seven thousand, two hundred".