13993380410880 has 480 divisors, whose sum is σ = 48557910978720. Its totient is φ = 3436208455680.

The previous prime is 13993380410869. The next prime is 13993380410921. The reversal of 13993380410880 is 8801408339931.

13993380410880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 13993380410880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 546411516 + ... + 546437124.

It is an arithmetic number, because the mean of its divisors is an integer number (101162314539).

Almost surely, 2^{13993380410880} is an apocalyptic number.

13993380410880 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 13993380410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24278955489360).

13993380410880 is an abundant number, since it is smaller than the sum of its proper divisors (34564530567840).

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

13993380410880 is a wasteful number, since it uses less digits than its factorization.

13993380410880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26082 (or 26053 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 13993380410880 in words is "thirteen trillion, nine hundred ninety-three billion, three hundred eighty million, four hundred ten thousand, eight hundred eighty".