13751863879936 has 432 divisors, whose sum is σ = 37585518082560. Its totient is φ = 4955078983680.

The previous prime is 13751863879909. The next prime is 13751863879981. The reversal of 13751863879936 is 63997836815731.

It is a super-2 number, since 2×13751863879936² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85858935 + ... + 86018953.

It is an arithmetic number, because the mean of its divisors is an integer number (87003514080).

Almost surely, 2^{13751863879936} is an apocalyptic number.

13751863879936 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 13751863879936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18792759041280).

13751863879936 is an abundant number, since it is smaller than the sum of its proper divisors (23833654202624).

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

13751863879936 is a wasteful number, since it uses less digits than its factorization.

13751863879936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160110 (or 160089 counting only the distinct ones).

The product of its digits is 1234517760, while the sum is 76.

The spelling of 13751863879936 in words is "thirteen trillion, seven hundred fifty-one billion, eight hundred sixty-three million, eight hundred seventy-nine thousand, nine hundred thirty-six".