12752396800 has 240 divisors, whose sum is σ = 37123998912. Its totient is φ = 4279910400.

The previous prime is 12752396737. The next prime is 12752396849. The reversal of 12752396800 is 869325721.

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 23 ways as a sum of consecutive naturals, for example, 1826917 + ... + 1833883.

Almost surely, 2^12752396800 is an apocalyptic number.

12752396800 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 12752396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561999456).

12752396800 is an abundant number, since it is smaller than the sum of its proper divisors (24371602112).

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

12752396800 is a wasteful number, since it uses less digits than its factorization.

12752396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7019 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 12752396800 in words is "twelve billion, seven hundred fifty-two million, three hundred ninety-six thousand, eight hundred".