13034401690080 has 384 divisors, whose sum is σ = 44084276490240. Its totient is φ = 3229674905600.

The previous prime is 13034401690061. The next prime is 13034401690087. The reversal of 13034401690080 is 8009610443031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13034401690087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58986841 + ... + 59207399.

It is an arithmetic number, because the mean of its divisors is an integer number (114802803360).

Almost surely, 2^{13034401690080} is an apocalyptic number.

13034401690080 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 13034401690080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22042138245120).

13034401690080 is an abundant number, since it is smaller than the sum of its proper divisors (31049874800160).

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

13034401690080 is a wasteful number, since it uses less digits than its factorization.

13034401690080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220754 (or 220746 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 13034401690080 in words is "thirteen trillion, thirty-four billion, four hundred one million, six hundred ninety thousand, eighty".