1380320015616 has 216 divisors, whose sum is σ = 4090712154984. Its totient is φ = 447304826880.

The previous prime is 1380320015609. The next prime is 1380320015617. The reversal of 1380320015616 is 6165100230831.

1380320015616 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 3 + 20 + 0 + 15 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 704793830400 + 675526185216 = 839520^2 + 821904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380320015617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116016580 + ... + 116028476.

It is an arithmetic number, because the mean of its divisors is an integer number (18938482199).

Almost surely, 2^{1380320015616} is an apocalyptic number.

1380320015616 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 1380320015616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045356077492).

1380320015616 is an abundant number, since it is smaller than the sum of its proper divisors (2710392139368).

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

1380320015616 is a wasteful number, since it uses less digits than its factorization.

1380320015616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13317 (or 13300 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1380320015616 in words is "one trillion, three hundred eighty billion, three hundred twenty million, fifteen thousand, six hundred sixteen".