12553569140736 has 256 divisors, whose sum is σ = 36137905282080. Its totient is φ = 3853296599040.

The previous prime is 12553569140713. The next prime is 12553569140737. The reversal of 12553569140736 is 63704196535521.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12553569140737) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 538006126 + ... + 538029458.

Almost surely, 2^{12553569140736} is an apocalyptic number.

12553569140736 is a gapful number since it is divisible by the number (16) 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 12553569140736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18068952641040).

12553569140736 is an abundant number, since it is smaller than the sum of its proper divisors (23584336141344).

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

12553569140736 is an equidigital number, since it uses as much as digits as its factorization.

12553569140736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23800 (or 23772 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 57.

The spelling of 12553569140736 in words is "twelve trillion, five hundred fifty-three billion, five hundred sixty-nine million, one hundred forty thousand, seven hundred thirty-six".