13129580880 has 240 divisors, whose sum is σ = 48644917776. Its totient is φ = 3152977920.

The previous prime is 13129580861. The next prime is 13129580903. The reversal of 13129580880 is 8808592131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1418878224 + 11710702656 = 37668^2 + 108216^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 366654 + ... + 400866.

Almost surely, 2^13129580880 is an apocalyptic number.

13129580880 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 13129580880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24322458888).

13129580880 is an abundant number, since it is smaller than the sum of its proper divisors (35515336896).

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

13129580880 is a wasteful number, since it uses less digits than its factorization.

13129580880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34286 (or 34277 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 13129580880 in words is "thirteen billion, one hundred twenty-nine million, five hundred eighty thousand, eight hundred eighty".