12875517760 has 224 divisors, whose sum is σ = 37016082432. Its totient is φ = 4170270720.

The previous prime is 12875517731. The next prime is 12875517761. The reversal of 12875517760 is 6771557821.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12875517761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4274655 + ... + 4277665.

It is an arithmetic number, because the mean of its divisors is an integer number (165250368).

Almost surely, 2^12875517760 is an apocalyptic number.

12875517760 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 12875517760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18508041216).

12875517760 is an abundant number, since it is smaller than the sum of its proper divisors (24140564672).

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

12875517760 is a wasteful number, since it uses less digits than its factorization.

12875517760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 49.

The spelling of 12875517760 in words is "twelve billion, eight hundred seventy-five million, five hundred seventeen thousand, seven hundred sixty".