13216753200 has 240 divisors, whose sum is σ = 48516815360. Its totient is φ = 3012802560.

The previous prime is 13216753177. The next prime is 13216753237. The reversal of 13216753200 is 235761231.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3433677 + ... + 3437523.

Almost surely, 2^13216753200 is an apocalyptic number.

13216753200 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 13216753200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24258407680).

13216753200 is an abundant number, since it is smaller than the sum of its proper divisors (35300062160).

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

13216753200 is a wasteful number, since it uses less digits than its factorization.

13216753200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 13216753200 in words is "thirteen billion, two hundred sixteen million, seven hundred fifty-three thousand, two hundred".