12526038504960 has 320 divisors, whose sum is σ = 41827274311680. Its totient is φ = 3193777520640.

The previous prime is 12526038504929. The next prime is 12526038504961. The reversal of 12526038504960 is 6940583062521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12526038504961) 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 31 ways as a sum of consecutive naturals, for example, 22667145 + ... + 23213175.

It is an arithmetic number, because the mean of its divisors is an integer number (130710232224).

Almost surely, 2^{12526038504960} is an apocalyptic number.

12526038504960 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 12526038504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913637155840).

12526038504960 is an abundant number, since it is smaller than the sum of its proper divisors (29301235806720).

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

12526038504960 is a wasteful number, since it uses less digits than its factorization.

12526038504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546189 (or 546173 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 12526038504960 in words is "twelve trillion, five hundred twenty-six billion, thirty-eight million, five hundred four thousand, nine hundred sixty".