11189510640 has 640 divisors, whose sum is σ = 49068288000. Its totient is φ = 2323399680.

The previous prime is 11189510621. The next prime is 11189510677. The reversal of 11189510640 is 4601598111.

It is a happy number.

11189510640 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 9 + 5 + 1 + 0 + 640 = 666.

11189510640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11189510595 and 11189510604.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 8148994 + ... + 8150366.

It is an arithmetic number, because the mean of its divisors is an integer number (76669200).

Almost surely, 2^11189510640 is an apocalyptic number.

11189510640 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 11189510640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24534144000).

11189510640 is an abundant number, since it is smaller than the sum of its proper divisors (37878777360).

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

11189510640 is a wasteful number, since it uses less digits than its factorization.

11189510640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 11189510640 in words is "eleven billion, one hundred eighty-nine million, five hundred ten thousand, six hundred forty".