13200952320 has 440 divisors, whose sum is σ = 47853128400. Its totient is φ = 3479666688.

The previous prime is 13200952291. The next prime is 13200952321. The reversal of 13200952320 is 2325900231.

13200952320 is a `hidden beast` number, since 132 + 0 + 0 + 9 + 523 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13200952321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57645966 + ... + 57646194.

It is an arithmetic number, because the mean of its divisors is an integer number (108757110).

Almost surely, 2^13200952320 is an apocalyptic number.

13200952320 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 13200952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23926564200).

13200952320 is an abundant number, since it is smaller than the sum of its proper divisors (34652176080).

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

13200952320 is a wasteful number, since it uses less digits than its factorization.

13200952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 13200952320 in words is "thirteen billion, two hundred million, nine hundred fifty-two thousand, three hundred twenty".