13481130719760 has 640 divisors, whose sum is σ = 46647460085760. Its totient is φ = 3193364428800.

The previous prime is 13481130719759. The next prime is 13481130719789. The reversal of 13481130719760 is 6791703118431.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14863429227 + ... + 14863430133.

It is an arithmetic number, because the mean of its divisors is an integer number (72886656384).

Almost surely, 2^{13481130719760} is an apocalyptic number.

13481130719760 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 13481130719760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23323730042880).

13481130719760 is an abundant number, since it is smaller than the sum of its proper divisors (33166329366000).

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

13481130719760 is a wasteful number, since it uses less digits than its factorization.

13481130719760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The spelling of 13481130719760 in words is "thirteen trillion, four hundred eighty-one billion, one hundred thirty million, seven hundred nineteen thousand, seven hundred sixty".