12993539739936 has 384 divisors, whose sum is σ = 41792461111296. Its totient is φ = 3453592412160.

The previous prime is 12993539739923. The next prime is 12993539739937. The reversal of 12993539739936 is 63993793539921.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12993539739937) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2374981681 + ... + 2374987151.

It is an arithmetic number, because the mean of its divisors is an integer number (108834534144).

Almost surely, 2^{12993539739936} is an apocalyptic number.

12993539739936 is a gapful number since it is divisible by the number (16) 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 12993539739936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20896230555648).

12993539739936 is an abundant number, since it is smaller than the sum of its proper divisors (28798921371360).

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

12993539739936 is a wasteful number, since it uses less digits than its factorization.

12993539739936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9704 (or 9696 counting only the distinct ones).

The product of its digits is 2008846980, while the sum is 78.

The spelling of 12993539739936 in words is "twelve trillion, nine hundred ninety-three billion, five hundred thirty-nine million, seven hundred thirty-nine thousand, nine hundred thirty-six".