13753233646560 has 216 divisors, whose sum is σ = 47952739683576. Its totient is φ = 3589495610880.

The previous prime is 13753233646541. The next prime is 13753233646583. The reversal of 13753233646560 is 6564633235731.

13753233646560 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 3 + 2 + 3 + 36 + 46 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13753233646497 and 13753233646506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1019155 + ... + 5342765.

It is an arithmetic number, because the mean of its divisors is an integer number (222003424461).

Almost surely, 2^{13753233646560} is an apocalyptic number.

13753233646560 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 13753233646560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23976369841788).

13753233646560 is an abundant number, since it is smaller than the sum of its proper divisors (34199506037016).

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

13753233646560 is a wasteful number, since it uses less digits than its factorization.

13753233646560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323726 (or 4323668 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 54.

The spelling of 13753233646560 in words is "thirteen trillion, seven hundred fifty-three billion, two hundred thirty-three million, six hundred forty-six thousand, five hundred sixty".