13363785124560 has 960 divisors, whose sum is σ = 49593125836800. Its totient is φ = 3205187960832.

The previous prime is 13363785124519. The next prime is 13363785124567. The reversal of 13363785124560 is 6542158736331.

13363785124560 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 3 + 7 + 8 + 51 + 24 + 560 = 666.

It is a super-3 number, since 3×13363785124560³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13363785124497 and 13363785124506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13363785124567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27899342401 + ... + 27899342879.

It is an arithmetic number, because the mean of its divisors is an integer number (51659506080).

Almost surely, 2^{13363785124560} is an apocalyptic number.

13363785124560 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 13363785124560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24796562918400).

13363785124560 is an abundant number, since it is smaller than the sum of its proper divisors (36229340712240).

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

13363785124560 is a wasteful number, since it uses less digits than its factorization.

13363785124560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 13363785124560 in words is "thirteen trillion, three hundred sixty-three billion, seven hundred eighty-five million, one hundred twenty-four thousand, five hundred sixty".