13405313050560 has 168 divisors, whose sum is σ = 46157083474320. Its totient is φ = 3570998366208.

The previous prime is 13405313050543. The next prime is 13405313050561. The reversal of 13405313050560 is 6505031350431.

13405313050560 is a `hidden beast` number, since 1 + 3 + 40 + 5 + 3 + 1 + 3 + 0 + 50 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13405313050561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302551 + ... + 5186729.

It is an arithmetic number, because the mean of its divisors is an integer number (274744544490).

Almost surely, 2^{13405313050560} is an apocalyptic number.

13405313050560 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 13405313050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23078541737160).

13405313050560 is an abundant number, since it is smaller than the sum of its proper divisors (32751770423760).

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

13405313050560 is a wasteful number, since it uses less digits than its factorization.

13405313050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4885155 (or 4885142 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 13405313050560 in words is "thirteen trillion, four hundred five billion, three hundred thirteen million, fifty thousand, five hundred sixty".