12805516800 has 720 divisors, whose sum is σ = 49868058240. Its totient is φ = 3248087040.

The previous prime is 12805516793. The next prime is 12805516819. The reversal of 12805516800 is 861550821.

12805516800 is a `hidden beast` number, since 1 + 28 + 0 + 551 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71539111 + ... + 71539289.

It is an arithmetic number, because the mean of its divisors is an integer number (69261192).

Almost surely, 2^12805516800 is an apocalyptic number.

12805516800 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 12805516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24934029120).

12805516800 is an abundant number, since it is smaller than the sum of its proper divisors (37062541440).

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

12805516800 is an equidigital number, since it uses as much as digits as its factorization.

12805516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 12805516800 in words is "twelve billion, eight hundred five million, five hundred sixteen thousand, eight hundred".