12504643993600 has 408 divisors, whose sum is σ = 33982662827520. Its totient is φ = 4526702592000.

The previous prime is 12504643993561. The next prime is 12504643993609. The reversal of 12504643993600 is 639934640521.

It is a super-2 number, since 2×12504643993600² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12504643993609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4343396961 + ... + 4343399839.

Almost surely, 2^{12504643993600} is an apocalyptic number.

12504643993600 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 12504643993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16991331413760).

12504643993600 is an abundant number, since it is smaller than the sum of its proper divisors (21478018833920).

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

12504643993600 is an equidigital number, since it uses as much as digits as its factorization.

12504643993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 52.

The spelling of 12504643993600 in words is "twelve trillion, five hundred four billion, six hundred forty-three million, nine hundred ninety-three thousand, six hundred".