12511438759560 has 256 divisors, whose sum is σ = 40700008258560. Its totient is φ = 3058595712000.

The previous prime is 12511438759553. The next prime is 12511438759613. The reversal of 12511438759560 is 6595783411521.

It is a self number, because there is not a number n which added to its sum of digits gives 12511438759560.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135825279 + ... + 135917361.

It is an arithmetic number, because the mean of its divisors is an integer number (158984407260).

It is a 1-persistent number, because it is pandigital, but 2⋅12511438759560 = 25022877519120 is not.

Almost surely, 2^{12511438759560} is an apocalyptic number.

12511438759560 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 12511438759560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20350004129280).

12511438759560 is an abundant number, since it is smaller than the sum of its proper divisors (28188569499000).

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

12511438759560 is a wasteful number, since it uses less digits than its factorization.

12511438759560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92708 (or 92704 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 57.

The spelling of 12511438759560 in words is "twelve trillion, five hundred eleven billion, four hundred thirty-eight million, seven hundred fifty-nine thousand, five hundred sixty".