13004907881280 has 224 divisors, whose sum is σ = 47195820629760. Its totient is φ = 2972135669760.

The previous prime is 13004907881279. The next prime is 13004907881323. The reversal of 13004907881280 is 8218870940031.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

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, 49388370 + ... + 49650990.

Almost surely, 2^{13004907881280} is an apocalyptic number.

13004907881280 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 13004907881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23597910314880).

13004907881280 is an abundant number, since it is smaller than the sum of its proper divisors (34190912748480).

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

13004907881280 is a wasteful number, since it uses less digits than its factorization.

13004907881280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270017 (or 270007 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 13004907881280 in words is "thirteen trillion, four billion, nine hundred seven million, eight hundred eighty-one thousand, two hundred eighty".