11789538936000 has 448 divisors, whose sum is σ = 44503531398144. Its totient is φ = 2693953536000.

The previous prime is 11789538935987. The next prime is 11789538936059. The reversal of 11789538936000 is 63983598711.

11789538936000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 712479727 + ... + 712496273.

It is an arithmetic number, because the mean of its divisors is an integer number (99338239728).

Almost surely, 2^{11789538936000} is an apocalyptic number.

11789538936000 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 11789538936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22251765699072).

11789538936000 is an abundant number, since it is smaller than the sum of its proper divisors (32713992462144).

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

11789538936000 is a wasteful number, since it uses less digits than its factorization.

11789538936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20825 (or 20805 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 60.

The spelling of 11789538936000 in words is "eleven trillion, seven hundred eighty-nine billion, five hundred thirty-eight million, nine hundred thirty-six thousand".