13496682719520 has 4608 divisors, whose sum is σ = 70240097894400. Its totient is φ = 2370274099200.

The previous prime is 13496682719467. The next prime is 13496682719537. The reversal of 13496682719520 is 2591728669431.

13496682719520 is a `hidden beast` number, since 1 + 3 + 4 + 96 + 6 + 8 + 2 + 7 + 19 + 520 = 666.

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

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 767 ways as a sum of consecutive naturals, for example, 17829170982 + ... + 17829171738.

It is an arithmetic number, because the mean of its divisors is an integer number (15243076800).

It is a 1-persistent number, because it is pandigital, but 2⋅13496682719520 = 26993365439040 is not.

Almost surely, 2^{13496682719520} is an apocalyptic number.

13496682719520 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 13496682719520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35120048947200).

13496682719520 is an abundant number, since it is smaller than the sum of its proper divisors (56743415174880).

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

13496682719520 is a wasteful number, since it uses less digits than its factorization.

13496682719520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 13496682719520 in words is "thirteen trillion, four hundred ninety-six billion, six hundred eighty-two million, seven hundred nineteen thousand, five hundred twenty".