13821727495680 has 960 divisors, whose sum is σ = 53303413363200. Its totient is φ = 3290395115520.

The previous prime is 13821727495621. The next prime is 13821727495691. The reversal of 13821727495680 is 8659472712831.

13821727495680 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 1 + 7 + 27 + 49 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8922999546 + ... + 8923001094.

It is an arithmetic number, because the mean of its divisors is an integer number (55524388920).

It is a 1-persistent number, because it is pandigital, but 2⋅13821727495680 = 27643454991360 is not.

Almost surely, 2^{13821727495680} is an apocalyptic number.

13821727495680 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 13821727495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26651706681600).

13821727495680 is an abundant number, since it is smaller than the sum of its proper divisors (39481685867520).

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

13821727495680 is an equidigital number, since it uses as much as digits as its factorization.

13821727495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 13821727495680 in words is "thirteen trillion, eight hundred twenty-one billion, seven hundred twenty-seven million, four hundred ninety-five thousand, six hundred eighty".