11003862240 has 288 divisors, whose sum is σ = 43033588416. Its totient is φ = 2508226560.

The previous prime is 11003862223. The next prime is 11003862241. The reversal of 11003862240 is 4226830011.

11003862240 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 38 + 622 + 4 + 0 = 666.

11003862240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11003862241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4242384 + ... + 4244976.

It is an arithmetic number, because the mean of its divisors is an integer number (149422182).

Almost surely, 2^11003862240 is an apocalyptic number.

11003862240 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 11003862240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21516794208).

11003862240 is an abundant number, since it is smaller than the sum of its proper divisors (32029726176).

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

11003862240 is a wasteful number, since it uses less digits than its factorization.

11003862240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11003862240 in words is "eleven billion, three million, eight hundred sixty-two thousand, two hundred forty".