13810651303680 has 3456 divisors, whose sum is σ = 65353046814720. Its totient is φ = 2697737011200.

The previous prime is 13810651303679. The next prime is 13810651303693. The reversal of 13810651303680 is 8630315601831.

13810651303680 is a `hidden beast` number, since 1 + 381 + 0 + 65 + 130 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 49148225140 + ... + 49148225420.

It is an arithmetic number, because the mean of its divisors is an integer number (18910025120).

Almost surely, 2^{13810651303680} is an apocalyptic number.

13810651303680 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 13810651303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32676523407360).

13810651303680 is an abundant number, since it is smaller than the sum of its proper divisors (51542395511040).

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

13810651303680 is a wasteful number, since it uses less digits than its factorization.

13810651303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13810651303680 in words is "thirteen trillion, eight hundred ten billion, six hundred fifty-one million, three hundred three thousand, six hundred eighty".