13886738152320 has 1024 divisors, whose sum is σ = 50620088678400. Its totient is φ = 3208141209600.

The previous prime is 13886738152319. The next prime is 13886738152403. The reversal of 13886738152320 is 2325183768831.

It is a super-2 number, since 2×13886738152320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15110704821 + ... + 15110705739.

It is an arithmetic number, because the mean of its divisors is an integer number (49433680350).

Almost surely, 2^{13886738152320} is an apocalyptic number.

13886738152320 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 13886738152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25310044339200).

13886738152320 is an abundant number, since it is smaller than the sum of its proper divisors (36733350526080).

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

13886738152320 is a wasteful number, since it uses less digits than its factorization.

13886738152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 13886738152320 in words is "thirteen trillion, eight hundred eighty-six billion, seven hundred thirty-eight million, one hundred fifty-two thousand, three hundred twenty".