13039591680 has 288 divisors, whose sum is σ = 46460937600. Its totient is φ = 3463077888.

The previous prime is 13039591673. The next prime is 13039591703. The reversal of 13039591680 is 8619593031.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13039591680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10609306 + ... + 10610534.

It is an arithmetic number, because the mean of its divisors is an integer number (161322700).

Almost surely, 2^13039591680 is an apocalyptic number.

13039591680 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 13039591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23230468800).

13039591680 is an abundant number, since it is smaller than the sum of its proper divisors (33421345920).

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

13039591680 is a wasteful number, since it uses less digits than its factorization.

13039591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 13039591680 in words is "thirteen billion, thirty-nine million, five hundred ninety-one thousand, six hundred eighty".