13731083747520 has 448 divisors, whose sum is σ = 44787754569600. Its totient is φ = 3562771709952.

The previous prime is 13731083747519. The next prime is 13731083747593. The reversal of 13731083747520 is 2574738013731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7103508474 + ... + 7103510406.

It is an arithmetic number, because the mean of its divisors is an integer number (99972666450).

Almost surely, 2^{13731083747520} is an apocalyptic number.

13731083747520 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 13731083747520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22393877284800).

13731083747520 is an abundant number, since it is smaller than the sum of its proper divisors (31056670822080).

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

13731083747520 is a wasteful number, since it uses less digits than its factorization.

13731083747520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 13731083747520 in words is "thirteen trillion, seven hundred thirty-one billion, eighty-three million, seven hundred forty-seven thousand, five hundred twenty".