12817720800 has 288 divisors, whose sum is σ = 46557957600. Its totient is φ = 3403284480.

The previous prime is 12817720787. The next prime is 12817720837. The reversal of 12817720800 is 802771821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5550046 + ... + 5552354.

It is an arithmetic number, because the mean of its divisors is an integer number (161659575).

Almost surely, 2^12817720800 is an apocalyptic number.

12817720800 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 12817720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23278978800).

12817720800 is an abundant number, since it is smaller than the sum of its proper divisors (33740236800).

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

12817720800 is a wasteful number, since it uses less digits than its factorization.

12817720800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 12817720800 in words is "twelve billion, eight hundred seventeen million, seven hundred twenty thousand, eight hundred".