13647928800 has 216 divisors, whose sum is σ = 48830734008. Its totient is φ = 3308518400.

The previous prime is 13647928753. The next prime is 13647928837. The reversal of 13647928800 is 882974631.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13647928800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266902 + ... + 313898.

It is an arithmetic number, because the mean of its divisors is an integer number (226068213).

Almost surely, 2^13647928800 is an apocalyptic number.

13647928800 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 13647928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24415367004).

13647928800 is an abundant number, since it is smaller than the sum of its proper divisors (35182805208).

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

13647928800 is a wasteful number, since it uses less digits than its factorization.

13647928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47042 (or 47018 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 13647928800 in words is "thirteen billion, six hundred forty-seven million, nine hundred twenty-eight thousand, eight hundred".