12757899436800 has 432 divisors, whose sum is σ = 48134202047232. Its totient is φ = 2915142451200.

The previous prime is 12757899436783. The next prime is 12757899436811. The reversal of 12757899436800 is 863499875721.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465144687 + ... + 465172113.

It is a 1-persistent number, because it is pandigital, but 2⋅12757899436800 = 25515798873600 is not.

Almost surely, 2^{12757899436800} is an apocalyptic number.

12757899436800 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 12757899436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24067101023616).

12757899436800 is an abundant number, since it is smaller than the sum of its proper divisors (35376302610432).

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

12757899436800 is a wasteful number, since it uses less digits than its factorization.

12757899436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30924 (or 30905 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 69.

The spelling of 12757899436800 in words is "twelve trillion, seven hundred fifty-seven billion, eight hundred ninety-nine million, four hundred thirty-six thousand, eight hundred".