13409854560 has 240 divisors, whose sum is σ = 47421158400. Its totient is φ = 3568748544.

The previous prime is 13409854529. The next prime is 13409854613. The reversal of 13409854560 is 6545890431.

13409854560 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 9 + 85 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10484001 + ... + 10485279.

It is an arithmetic number, because the mean of its divisors is an integer number (197588160).

Almost surely, 2^13409854560 is an apocalyptic number.

13409854560 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 13409854560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23710579200).

13409854560 is an abundant number, since it is smaller than the sum of its proper divisors (34011303840).

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

13409854560 is a wasteful number, since it uses less digits than its factorization.

13409854560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 13409854560 in words is "thirteen billion, four hundred nine million, eight hundred fifty-four thousand, five hundred sixty".