13727717498880 has 3584 divisors, whose sum is σ = 65370780794880. Its totient is φ = 2648687247360.

The previous prime is 13727717498879. The next prime is 13727717498893. The reversal of 13727717498880 is 8889471772731.

13727717498880 is a `hidden beast` number, since 1 + 37 + 27 + 7 + 1 + 7 + 498 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13727717498799 and 13727717498808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 84219125679 + ... + 84219125841.

Almost surely, 2^{13727717498880} is an apocalyptic number.

13727717498880 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 13727717498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32685390397440).

13727717498880 is an abundant number, since it is smaller than the sum of its proper divisors (51643063296000).

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

13727717498880 is a wasteful number, since it uses less digits than its factorization.

13727717498880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 265531392, while the sum is 72.

The spelling of 13727717498880 in words is "thirteen trillion, seven hundred twenty-seven billion, seven hundred seventeen million, four hundred ninety-eight thousand, eight hundred eighty".