11640158784 has 252 divisors, whose sum is σ = 36494364400. Its totient is φ = 3673320192.

The previous prime is 11640158741. The next prime is 11640158801. The reversal of 11640158784 is 48785104611.

11640158784 is a `hidden beast` number, since 1 + 1 + 64 + 0 + 1 + 587 + 8 + 4 = 666.

11640158784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 7977447 + ... + 7978905.

Almost surely, 2^11640158784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11640158784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18247182200).

11640158784 is an abundant number, since it is smaller than the sum of its proper divisors (24854205616).

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

11640158784 is an frugal number, since it uses more digits than its factorization.

11640158784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 11640158784 in words is "eleven billion, six hundred forty million, one hundred fifty-eight thousand, seven hundred eighty-four".