12753923984600 has 48 divisors (see below), whose sum is σ = 29655505683600. Its totient is φ = 5101116704640.

The previous prime is 12753923984587. The next prime is 12753923984617. The reversal of 12753923984600 is 648932935721.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12753923984600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 567515 + ... + 5082314.

It is an arithmetic number, because the mean of its divisors is an integer number (617823035075).

It is a 1-persistent number, because it is pandigital, but 2⋅12753923984600 = 25507847969200 is not.

Almost surely, 2^{12753923984600} is an apocalyptic number.

12753923984600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12753923984600 is an abundant number, since it is smaller than the sum of its proper divisors (16901581699000).

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

12753923984600 is a wasteful number, since it uses less digits than its factorization.

12753923984600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5661132 (or 5661123 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 59.

The spelling of 12753923984600 in words is "twelve trillion, seven hundred fifty-three billion, nine hundred twenty-three million, nine hundred eighty-four thousand, six hundred".