11533625640 has 256 divisors, whose sum is σ = 40184985600. Its totient is φ = 2975719680.

The previous prime is 11533625633. The next prime is 11533625723. The reversal of 11533625640 is 4652633511.

11533625640 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 3 + 6 + 2 + 5 + 640 = 666.

11533625640 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 = 11533625595 and 11533625604.

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 63 ways as a sum of consecutive naturals, for example, 2709754 + ... + 2714006.

It is an arithmetic number, because the mean of its divisors is an integer number (156972600).

Almost surely, 2^11533625640 is an apocalyptic number.

11533625640 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 11533625640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20092492800).

11533625640 is an abundant number, since it is smaller than the sum of its proper divisors (28651359960).

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

11533625640 is an equidigital number, since it uses as much as digits as its factorization.

11533625640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 11533625640 in words is "eleven billion, five hundred thirty-three million, six hundred twenty-five thousand, six hundred forty".