13413360880 has 80 divisors (see below), whose sum is σ = 31596415200. Its totient is φ = 5294981120.

The previous prime is 13413360833. The next prime is 13413360889. The reversal of 13413360880 is 8806331431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13413360880² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13413360889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4562451 + ... + 4565389.

It is an arithmetic number, because the mean of its divisors is an integer number (394955190).

Almost surely, 2^13413360880 is an apocalyptic number.

13413360880 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 13413360880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15798207600).

13413360880 is an abundant number, since it is smaller than the sum of its proper divisors (18183054320).

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

13413360880 is a wasteful number, since it uses less digits than its factorization.

13413360880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 13413360880 in words is "thirteen billion, four hundred thirteen million, three hundred sixty thousand, eight hundred eighty".