12752812800 has 864 divisors, whose sum is σ = 57625756160. Its totient is φ = 2687385600.

The previous prime is 12752812789. The next prime is 12752812817. The reversal of 12752812800 is 821825721.

12752812800 is a `hidden beast` number, since 1 + 2 + 7 + 528 + 128 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15724395 + ... + 15725205.

Almost surely, 2^12752812800 is an apocalyptic number.

12752812800 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 12752812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28812878080).

12752812800 is an abundant number, since it is smaller than the sum of its proper divisors (44872943360).

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

12752812800 is a wasteful number, since it uses less digits than its factorization.

12752812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 12752812800 in words is "twelve billion, seven hundred fifty-two million, eight hundred twelve thousand, eight hundred".