13163908320 has 576 divisors, whose sum is σ = 50878679040. Its totient is φ = 3172359168.

The previous prime is 13163908313. The next prime is 13163908321. The reversal of 13163908320 is 2380936131.

13163908320 is a `hidden beast` number, since 13 + 1 + 639 + 0 + 8 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13163908321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35868777 + ... + 35869143.

It is an arithmetic number, because the mean of its divisors is an integer number (88331040).

Almost surely, 2^13163908320 is an apocalyptic number.

13163908320 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 13163908320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25439339520).

13163908320 is an abundant number, since it is smaller than the sum of its proper divisors (37714770720).

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

13163908320 is a wasteful number, since it uses less digits than its factorization.

13163908320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13163908320 in words is "thirteen billion, one hundred sixty-three million, nine hundred eight thousand, three hundred twenty".