13831713096960 has 576 divisors, whose sum is σ = 51114931338240. Its totient is φ = 3152388096000.

The previous prime is 13831713096959. The next prime is 13831713096989. The reversal of 13831713096960 is 6969031713831.

It is a super-2 number, since 2×13831713096960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 13831713096960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105069580 + ... + 105201140.

It is an arithmetic number, because the mean of its divisors is an integer number (88741200240).

Almost surely, 2^{13831713096960} is an apocalyptic number.

13831713096960 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 13831713096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25557465669120).

13831713096960 is an abundant number, since it is smaller than the sum of its proper divisors (37283218241280).

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

13831713096960 is a wasteful number, since it uses less digits than its factorization.

13831713096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131746 (or 131732 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The spelling of 13831713096960 in words is "thirteen trillion, eight hundred thirty-one billion, seven hundred thirteen million, ninety-six thousand, nine hundred sixty".