13205041560 has 192 divisors, whose sum is σ = 43484688000. Its totient is φ = 3475049472.

The previous prime is 13205041547. The next prime is 13205041579. The reversal of 13205041560 is 6514050231.

13205041560 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 504 + 156 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9279009 + ... + 9280431.

It is an arithmetic number, because the mean of its divisors is an integer number (226482750).

Almost surely, 2^13205041560 is an apocalyptic number.

13205041560 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 13205041560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21742344000).

13205041560 is an abundant number, since it is smaller than the sum of its proper divisors (30279646440).

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

13205041560 is a wasteful number, since it uses less digits than its factorization.

13205041560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 13205041560 its reverse (6514050231), we get a palindrome (19719091791).

The spelling of 13205041560 in words is "thirteen billion, two hundred five million, forty-one thousand, five hundred sixty".