13409984160 has 384 divisors, whose sum is σ = 50039942400. Its totient is φ = 3386105856.

The previous prime is 13409984089. The next prime is 13409984167. The reversal of 13409984160 is 6148990431.

13409984160 is a `hidden beast` number, since 1 + 3 + 409 + 9 + 84 + 160 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13409984167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6647472 + ... + 6649488.

It is an arithmetic number, because the mean of its divisors is an integer number (130312350).

Almost surely, 2^13409984160 is an apocalyptic number.

13409984160 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 13409984160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25019971200).

13409984160 is an abundant number, since it is smaller than the sum of its proper divisors (36629958240).

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

13409984160 is an equidigital number, since it uses as much as digits as its factorization.

13409984160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 13409984160 in words is "thirteen billion, four hundred nine million, nine hundred eighty-four thousand, one hundred sixty".