13684781260800 has 3360 divisors, whose sum is σ = 59466483901440. Its totient is φ = 3083128012800.

The previous prime is 13684781260763. The next prime is 13684781260817. The reversal of 13684781260800 is 806218748631.

13684781260800 is a `hidden beast` number, since 1 + 36 + 8 + 478 + 1 + 2 + 60 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 153761587156 + ... + 153761587244.

It is an arithmetic number, because the mean of its divisors is an integer number (17698358304).

Almost surely, 2^{13684781260800} is an apocalyptic number.

13684781260800 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 13684781260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29733241950720).

13684781260800 is an abundant number, since it is smaller than the sum of its proper divisors (45781702640640).

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

13684781260800 is a wasteful number, since it uses less digits than its factorization.

13684781260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 13684781260800 in words is "thirteen trillion, six hundred eighty-four billion, seven hundred eighty-one million, two hundred sixty thousand, eight hundred".