12552768000 has 960 divisors, whose sum is σ = 50455342080. Its totient is φ = 2985984000.

The previous prime is 12552767977. The next prime is 12552768013. The reversal of 12552768000 is 86725521.

It is a happy number.

12552768000 is a `hidden beast` number, since 125 + 527 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339263982 + ... + 339264018.

It is an arithmetic number, because the mean of its divisors is an integer number (52557648).

Almost surely, 2^12552768000 is an apocalyptic number.

12552768000 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 12552768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25227671040).

12552768000 is an abundant number, since it is smaller than the sum of its proper divisors (37902574080).

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

12552768000 is a wasteful number, since it uses less digits than its factorization.

12552768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 12552768000 in words is "twelve billion, five hundred fifty-two million, seven hundred sixty-eight thousand".