9938738880000 has 3600 divisors, whose sum is σ = 46205883884160. Its totient is φ = 2082723840000.

The previous prime is 9938738879977. The next prime is 9938738880001. The reversal of 9938738880000 is 888378399.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 9938738880000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9938738880001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 320604479985 + ... + 320604480015.

Almost surely, 2^{9938738880000} is an apocalyptic number.

9938738880000 is a gapful number since it is divisible by the number (90) 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 9938738880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23102941942080).

9938738880000 is an abundant number, since it is smaller than the sum of its proper divisors (36267145004160).

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

9938738880000 is an frugal number, since it uses more digits than its factorization.

9938738880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 9938738880000 in words is "nine trillion, nine hundred thirty-eight billion, seven hundred thirty-eight million, eight hundred eighty thousand".