12751478026560 has 1008 divisors, whose sum is σ = 55315153530000. Its totient is φ = 2672307929088.

The previous prime is 12751478026543. The next prime is 12751478026571. The reversal of 12751478026560 is 6562087415721.

It is a happy number.

12751478026560 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 1 + 4 + 78 + 0 + 2 + 6 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2043504558144 + 10707973468416 = 1429512^2 + 3272304^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 12751478026497 and 12751478026506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 273326116 + ... + 273372764.

It is an arithmetic number, because the mean of its divisors is an integer number (54876144375).

Almost surely, 2^{12751478026560} is an apocalyptic number.

12751478026560 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 12751478026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27657576765000).

12751478026560 is an abundant number, since it is smaller than the sum of its proper divisors (42563675503440).

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

12751478026560 is a wasteful number, since it uses less digits than its factorization.

12751478026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46848 (or 46828 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 12751478026560 in words is "twelve trillion, seven hundred fifty-one billion, four hundred seventy-eight million, twenty-six thousand, five hundred sixty".