13491672727680 has 768 divisors, whose sum is σ = 56302206105600. Its totient is φ = 2911533465600.

The previous prime is 13491672727669. The next prime is 13491672727691. The reversal of 13491672727680 is 8672727619431.

13491672727680 is a `hidden beast` number, since 1 + 3 + 491 + 6 + 7 + 2 + 72 + 76 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13491672727669) and next prime (13491672727691).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 51115086 + ... + 51378354.

It is an arithmetic number, because the mean of its divisors is an integer number (73310164200).

Almost surely, 2^{13491672727680} is an apocalyptic number.

13491672727680 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 13491672727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28151103052800).

13491672727680 is an abundant number, since it is smaller than the sum of its proper divisors (42810533377920).

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

13491672727680 is a wasteful number, since it uses less digits than its factorization.

13491672727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263373 (or 263358 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 13491672727680 in words is "thirteen trillion, four hundred ninety-one billion, six hundred seventy-two million, seven hundred twenty-seven thousand, six hundred eighty".