13838689751040 has 3744 divisors, whose sum is σ = 65711753093376. Its totient is φ = 2614288711680.

The previous prime is 13838689751039. The next prime is 13838689751041. The reversal of 13838689751040 is 4015798683831.

13838689751040 is a `hidden beast` number, since 1 + 3 + 8 + 38 + 6 + 89 + 7 + 510 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13838689751039) and next prime (13838689751041).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13838689751041) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 189571092444 + ... + 189571092516.

It is an arithmetic number, because the mean of its divisors is an integer number (17551216104).

Almost surely, 2^{13838689751040} is an apocalyptic number.

13838689751040 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 13838689751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32855876546688).

13838689751040 is an abundant number, since it is smaller than the sum of its proper divisors (51873063342336).

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

13838689751040 is a wasteful number, since it uses less digits than its factorization.

13838689751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 13838689751040 in words is "thirteen trillion, eight hundred thirty-eight billion, six hundred eighty-nine million, seven hundred fifty-one thousand, forty".