13475200320 has 168 divisors, whose sum is σ = 47947615560. Its totient is φ = 3469455360.

The previous prime is 13475200309. The next prime is 13475200351. The reversal of 13475200320 is 2300257431.

13475200320 is a `hidden beast` number, since 134 + 7 + 5 + 200 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 193098816 + 13282101504 = 13896^2 + 115248^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2850 + ... + 164190.

Almost surely, 2^13475200320 is an apocalyptic number.

13475200320 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 13475200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23973807780).

13475200320 is an abundant number, since it is smaller than the sum of its proper divisors (34472415240).

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

13475200320 is a wasteful number, since it uses less digits than its factorization.

13475200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161393 (or 161380 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 13475200320 its reverse (2300257431), we get a palindrome (15775457751).

The spelling of 13475200320 in words is "thirteen billion, four hundred seventy-five million, two hundred thousand, three hundred twenty".