13785969938752 has 224 divisors, whose sum is σ = 30732033024000. Its totient is φ = 6081723648000.

The previous prime is 13785969938749. The next prime is 13785969938753. The reversal of 13785969938752 is 25783996958731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13785969938753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7837389649 + ... + 7837391407.

It is an arithmetic number, because the mean of its divisors is an integer number (137196576000).

Almost surely, 2^{13785969938752} 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 13785969938752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15366016512000).

13785969938752 is an abundant number, since it is smaller than the sum of its proper divisors (16946063085248).

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

13785969938752 is a wasteful number, since it uses less digits than its factorization.

13785969938752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3315 counting only the distinct ones).

The product of its digits is 6172588800, while the sum is 82.

The spelling of 13785969938752 in words is "thirteen trillion, seven hundred eighty-five billion, nine hundred sixty-nine million, nine hundred thirty-eight thousand, seven hundred fifty-two".