13728808800 has 1152 divisors, whose sum is σ = 61196083200. Its totient is φ = 2903040000.

The previous prime is 13728808799. The next prime is 13728808801. The reversal of 13728808800 is 880882731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13728808799) and next prime (13728808801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13728808801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 135928750 + ... + 135928850.

It is an arithmetic number, because the mean of its divisors is an integer number (53121600).

Almost surely, 2^13728808800 is an apocalyptic number.

13728808800 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 13728808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30598041600).

13728808800 is an abundant number, since it is smaller than the sum of its proper divisors (47467274400).

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

13728808800 is a wasteful number, since it uses less digits than its factorization.

13728808800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 13728808800 in words is "thirteen billion, seven hundred twenty-eight million, eight hundred eight thousand, eight hundred".