11933988997728 has 144 divisors (see below), whose sum is σ = 36501331636224. Its totient is φ = 3404093011200.

The previous prime is 11933988997661. The next prime is 11933988997783. The reversal of 11933988997728 is 82779988933911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 765553 + ... + 4945103.

It is an arithmetic number, because the mean of its divisors is an integer number (253481469696).

Almost surely, 2^{11933988997728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11933988997728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18250665818112).

11933988997728 is an abundant number, since it is smaller than the sum of its proper divisors (24567342638496).

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

11933988997728 is a wasteful number, since it uses less digits than its factorization.

11933988997728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180185 (or 4180170 counting only the distinct ones).

The product of its digits is 2962842624, while the sum is 84.

The spelling of 11933988997728 in words is "eleven trillion, nine hundred thirty-three billion, nine hundred eighty-eight million, nine hundred ninety-seven thousand, seven hundred twenty-eight".