12779025249760 has 768 divisors, whose sum is σ = 39328992460800. Its totient is φ = 3807811584000.

The previous prime is 12779025249743. The next prime is 12779025249769. The reversal of 12779025249760 is 6794252097721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12779025249769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12182101716 + ... + 12182102764.

It is an arithmetic number, because the mean of its divisors is an integer number (51209625600).

Almost surely, 2^{12779025249760} is an apocalyptic number.

12779025249760 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 12779025249760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19664496230400).

12779025249760 is an abundant number, since it is smaller than the sum of its proper divisors (26549967211040).

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

12779025249760 is a wasteful number, since it uses less digits than its factorization.

12779025249760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 61.

The spelling of 12779025249760 in words is "twelve trillion, seven hundred seventy-nine billion, twenty-five million, two hundred forty-nine thousand, seven hundred sixty".