13839628869360 has 960 divisors, whose sum is σ = 58408047360000. Its totient is φ = 2863433244672.

The previous prime is 13839628869301. The next prime is 13839628869397. The reversal of 13839628869360 is 6396882693831.

13839628869360 is a `hidden beast` number, since 1 + 3 + 83 + 96 + 28 + 86 + 9 + 360 = 666.

It is a super-3 number, since 3×13839628869360³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 2407307766 + ... + 2407313514.

It is an arithmetic number, because the mean of its divisors is an integer number (60841716000).

Almost surely, 2^{13839628869360} is an apocalyptic number.

13839628869360 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 13839628869360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29204023680000).

13839628869360 is an abundant number, since it is smaller than the sum of its proper divisors (44568418490640).

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

13839628869360 is a wasteful number, since it uses less digits than its factorization.

13839628869360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6910 (or 6901 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 13839628869360 in words is "thirteen trillion, eight hundred thirty-nine billion, six hundred twenty-eight million, eight hundred sixty-nine thousand, three hundred sixty".