11652328000 has 56 divisors (see below), whose sum is σ = 28857010104. Its totient is φ = 4660928000.

The previous prime is 11652327997. The next prime is 11652328001. The reversal of 11652328000 is 82325611.

It can be written as a sum of positive squares in 4 ways, for example, as 1511032384 + 10141295616 = 38872^2 + 100704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11652328000.

It is not an unprimeable number, because it can be changed into a prime (11652328001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720271 + ... + 736270.

Almost surely, 2^11652328000 is an apocalyptic number.

11652328000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11652328000 is an abundant number, since it is smaller than the sum of its proper divisors (17204682104).

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

11652328000 is an equidigital number, since it uses as much as digits as its factorization.

11652328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456568 (or 1456548 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 11652328000 in words is "eleven billion, six hundred fifty-two million, three hundred twenty-eight thousand".