13731473842560 has 1024 divisors, whose sum is σ = 50741423308800. Its totient is φ = 3506872320000.

The previous prime is 13731473842517. The next prime is 13731473842561. The reversal of 13731473842560 is 6524837413731.

13731473842560 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 1 + 4 + 7 + 38 + 42 + 560 = 666.

13731473842560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13731473842497 and 13731473842506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13731473842561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9087672205 + ... + 9087673715.

It is an arithmetic number, because the mean of its divisors is an integer number (49552171200).

Almost surely, 2^{13731473842560} is an apocalyptic number.

13731473842560 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 13731473842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25370711654400).

13731473842560 is an abundant number, since it is smaller than the sum of its proper divisors (37009949466240).

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

13731473842560 is a wasteful number, since it uses less digits than its factorization.

13731473842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 13731473842560 in words is "thirteen trillion, seven hundred thirty-one billion, four hundred seventy-three million, eight hundred forty-two thousand, five hundred sixty".