11439360000 has 480 divisors, whose sum is σ = 42472029600. Its totient is φ = 3041280000.

The previous prime is 11439359989. The next prime is 11439360067. The reversal of 11439360000 is 6393411.

11439360000 is a `hidden beast` number, since 11 + 43 + 9 + 3 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 34559835 + ... + 34560165.

It is an arithmetic number, because the mean of its divisors is an integer number (88483395).

Almost surely, 2^11439360000 is an apocalyptic number.

11439360000 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 11439360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21236014800).

11439360000 is an abundant number, since it is smaller than the sum of its proper divisors (31032669600).

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

11439360000 is an frugal number, since it uses more digits than its factorization.

11439360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 11439360000 in words is "eleven billion, four hundred thirty-nine million, three hundred sixty thousand".