12738920319360 has 512 divisors, whose sum is σ = 48135760358400. Its totient is φ = 3172803379200.

The previous prime is 12738920319299. The next prime is 12738920319371. The reversal of 12738920319360 is 6391302983721.

12738920319360 is a `hidden beast` number, since 1 + 2 + 73 + 8 + 9 + 203 + 1 + 9 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12738920319297 and 12738920319306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38317045 + ... + 38648075.

It is an arithmetic number, because the mean of its divisors is an integer number (94015156950).

Almost surely, 2^{12738920319360} is an apocalyptic number.

12738920319360 is a gapful number since it is divisible by the number (10) 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 12738920319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24067880179200).

12738920319360 is an abundant number, since it is smaller than the sum of its proper divisors (35396840039040).

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

12738920319360 is a wasteful number, since it uses less digits than its factorization.

12738920319360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331207 (or 331189 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 12738920319360 in words is "twelve trillion, seven hundred thirty-eight billion, nine hundred twenty million, three hundred nineteen thousand, three hundred sixty".