13305452160 has 1536 divisors, whose sum is σ = 61887006720. Its totient is φ = 2384363520.

The previous prime is 13305452099. The next prime is 13305452227. The reversal of 13305452160 is 6125450331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 309429099 + ... + 309429141.

It is an arithmetic number, because the mean of its divisors is an integer number (40291020).

Almost surely, 2^13305452160 is an apocalyptic number.

13305452160 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 13305452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30943503360).

13305452160 is an abundant number, since it is smaller than the sum of its proper divisors (48581554560).

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

13305452160 is a wasteful number, since it uses less digits than its factorization.

13305452160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 13305452160 in words is "thirteen billion, three hundred five million, four hundred fifty-two thousand, one hundred sixty".