11331936000 has 1296 divisors, whose sum is σ = 52453765728. Its totient is φ = 2322432000.

The previous prime is 11331935999. The next prime is 11331936037. The reversal of 11331936000 is 63913311.

11331936000 is a `hidden beast` number, since 11 + 33 + 19 + 3 + 600 + 0 = 666.

11331936000 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 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 143 ways as a sum of consecutive naturals, for example, 155231964 + ... + 155232036.

Almost surely, 2^11331936000 is an apocalyptic number.

11331936000 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 11331936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26226882864).

11331936000 is an abundant number, since it is smaller than the sum of its proper divisors (41121829728).

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

11331936000 is a wasteful number, since it uses less digits than its factorization.

11331936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 11331936000 in words is "eleven billion, three hundred thirty-one million, nine hundred thirty-six thousand".