11538324000 has 864 divisors, whose sum is σ = 49404805632. Its totient is φ = 2540160000.

The previous prime is 11538323981. The next prime is 11538324011. The reversal of 11538324000 is 42383511.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54683895 + ... + 54684105.

It is an arithmetic number, because the mean of its divisors is an integer number (57181488).

Almost surely, 2^11538324000 is an apocalyptic number.

11538324000 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 11538324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24702402816).

11538324000 is an abundant number, since it is smaller than the sum of its proper divisors (37866481632).

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

11538324000 is a wasteful number, since it uses less digits than its factorization.

11538324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 11538324000 in words is "eleven billion, five hundred thirty-eight million, three hundred twenty-four thousand".