11139334116000 has 768 divisors, whose sum is σ = 39736657658880. Its totient is φ = 2716876800000.

The previous prime is 11139334115989. The next prime is 11139334116019. The reversal of 11139334116000 is 61143393111.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2249913525 + ... + 2249918475.

It is an arithmetic number, because the mean of its divisors is an integer number (51740439660).

Almost surely, 2^{11139334116000} is an apocalyptic number.

11139334116000 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 11139334116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19868328829440).

11139334116000 is an abundant number, since it is smaller than the sum of its proper divisors (28597323542880).

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

11139334116000 is a wasteful number, since it uses less digits than its factorization.

11139334116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306 (or 5288 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The spelling of 11139334116000 in words is "eleven trillion, one hundred thirty-nine billion, three hundred thirty-four million, one hundred sixteen thousand".