13496540581888 has 1248 divisors, whose sum is σ = 37748846016000. Its totient is φ = 4783986966528.

The previous prime is 13496540581837. The next prime is 13496540581891. The reversal of 13496540581888 is 88818504569431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151646523348 + ... + 151646523436.

Almost surely, 2^{13496540581888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13496540581888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18874423008000).

13496540581888 is an abundant number, since it is smaller than the sum of its proper divisors (24252305434112).

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

13496540581888 is an equidigital number, since it uses as much as digits as its factorization.

13496540581888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 70.

The spelling of 13496540581888 in words is "thirteen trillion, four hundred ninety-six billion, five hundred forty million, five hundred eighty-one thousand, eight hundred eighty-eight".