12752308800 has 1512 divisors, whose sum is σ = 60493485312. Its totient is φ = 2515968000.

The previous prime is 12752308799. The next prime is 12752308837. The reversal of 12752308800 is 880325721.

12752308800 is a `hidden beast` number, since 1 + 275 + 2 + 308 + 80 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 240609574 + ... + 240609626.

Almost surely, 2^12752308800 is an apocalyptic number.

12752308800 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 12752308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30246742656).

12752308800 is an abundant number, since it is smaller than the sum of its proper divisors (47741176512).

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

12752308800 is a wasteful number, since it uses less digits than its factorization.

12752308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12752308800 in words is "twelve billion, seven hundred fifty-two million, three hundred eight thousand, eight hundred".