11500424640 has 168 divisors, whose sum is σ = 40833007488. Its totient is φ = 2967828480.

The previous prime is 11500424623. The next prime is 11500424641. The reversal of 11500424640 is 4642400511.

11500424640 is a `hidden beast` number, since 1 + 15 + 0 + 0 + 4 + 2 + 4 + 640 = 666.

11500424640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11500424641) 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 23 ways as a sum of consecutive naturals, for example, 24874 + ... + 153686.

It is an arithmetic number, because the mean of its divisors is an integer number (243053616).

Almost surely, 2^11500424640 is an apocalyptic number.

11500424640 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 11500424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20416503744).

11500424640 is an abundant number, since it is smaller than the sum of its proper divisors (29332582848).

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

11500424640 is a wasteful number, since it uses less digits than its factorization.

11500424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128867 (or 128854 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 11500424640 in words is "eleven billion, five hundred million, four hundred twenty-four thousand, six hundred forty".