11319552000 has 576 divisors, whose sum is σ = 43350325200. Its totient is φ = 2840985600.

The previous prime is 11319551987. The next prime is 11319552001. The reversal of 11319552000 is 25591311.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11319552000 is a `hidden beast` number, since 1 + 131 + 9 + 5 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 589906944 + 10729645056 = 24288^2 + 103584^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (11319552001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665855992 + ... + 665856008.

Almost surely, 2^11319552000 is an apocalyptic number.

11319552000 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 11319552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21675162600).

11319552000 is an abundant number, since it is smaller than the sum of its proper divisors (32030773200).

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

11319552000 is an frugal number, since it uses more digits than its factorization.

11319552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 11319552000 in words is "eleven billion, three hundred nineteen million, five hundred fifty-two thousand".