13087694016 has 112 divisors (see below), whose sum is σ = 38538505600. Its totient is φ = 4355410176.

The previous prime is 13087694003. The next prime is 13087694089. The reversal of 13087694016 is 61049678031.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 1105215 + ... + 1116993.

It is an arithmetic number, because the mean of its divisors is an integer number (344093800).

Almost surely, 2^13087694016 is an apocalyptic number.

13087694016 is a gapful number since it is divisible by the number (16) 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 13087694016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19269252800).

13087694016 is an abundant number, since it is smaller than the sum of its proper divisors (25450811584).

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

13087694016 is a wasteful number, since it uses less digits than its factorization.

13087694016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12443 (or 12427 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13087694016 in words is "thirteen billion, eighty-seven million, six hundred ninety-four thousand, sixteen".