11931602928000 has 1024 divisors, whose sum is σ = 46264967424000. Its totient is φ = 2663829504000.

The previous prime is 11931602927963. The next prime is 11931602928029. The reversal of 11931602928000 is 82920613911.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 3053902047 + ... + 3053905953.

It is an arithmetic number, because the mean of its divisors is an integer number (45180632250).

Almost surely, 2^{11931602928000} is an apocalyptic number.

11931602928000 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 11931602928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23132483712000).

11931602928000 is an abundant number, since it is smaller than the sum of its proper divisors (34333364496000).

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

11931602928000 is a wasteful number, since it uses less digits than its factorization.

11931602928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 11931602928000 in words is "eleven trillion, nine hundred thirty-one billion, six hundred two million, nine hundred twenty-eight thousand".