11728191680772 has 144 divisors (see below), whose sum is σ = 31889770278912. Its totient is φ = 3345010966080.

The previous prime is 11728191680761. The next prime is 11728191680773. The reversal of 11728191680772 is 27708619182711.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11728191680773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 946502697 + ... + 946515087.

It is an arithmetic number, because the mean of its divisors is an integer number (221456738048).

Almost surely, 2^{11728191680772} is an apocalyptic number.

11728191680772 is a gapful number since it is divisible by the number (12) 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 11728191680772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15944885139456).

11728191680772 is an abundant number, since it is smaller than the sum of its proper divisors (20161578598140).

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

11728191680772 is a wasteful number, since it uses less digits than its factorization.

11728191680772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15118 (or 15109 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 60.

The spelling of 11728191680772 in words is "eleven trillion, seven hundred twenty-eight billion, one hundred ninety-one million, six hundred eighty thousand, seven hundred seventy-two".