13887978340320 has 1152 divisors, whose sum is σ = 56801781743616. Its totient is φ = 3138826070016.

The previous prime is 13887978340309. The next prime is 13887978340363. The reversal of 13887978340320 is 2304387978831.

13887978340320 is a `hidden beast` number, since 1 + 3 + 88 + 79 + 7 + 83 + 403 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15311993307 + ... + 15311994213.

It is an arithmetic number, because the mean of its divisors is an integer number (49307102208).

Almost surely, 2^{13887978340320} is an apocalyptic number.

13887978340320 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 13887978340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28400890871808).

13887978340320 is an abundant number, since it is smaller than the sum of its proper divisors (42913803403296).

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

13887978340320 is a wasteful number, since it uses less digits than its factorization.

13887978340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 13887978340320 in words is "thirteen trillion, eight hundred eighty-seven billion, nine hundred seventy-eight million, three hundred forty thousand, three hundred twenty".