12751263461376 has 936 divisors, whose sum is σ = 42255589259520. Its totient is φ = 3839165890560.

The previous prime is 12751263461371. The next prime is 12751263461477. The reversal of 12751263461376 is 67316436215721.

12751263461376 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 1 + 263 + 4 + 6 + 1 + 376 = 666.

It is a super-2 number, since 2×12751263461376² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12751263461371) 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 71 ways as a sum of consecutive naturals, for example, 28783890211 + ... + 28783890653.

It is an arithmetic number, because the mean of its divisors is an integer number (45144860320).

Almost surely, 2^{12751263461376} is an apocalyptic number.

12751263461376 is a gapful number since it is divisible by the number (16) 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 12751263461376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21127794629760).

12751263461376 is an abundant number, since it is smaller than the sum of its proper divisors (29504325798144).

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

12751263461376 is an equidigital number, since it uses as much as digits as its factorization.

12751263461376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 698 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 12751263461376 in words is "twelve trillion, seven hundred fifty-one billion, two hundred sixty-three million, four hundred sixty-one thousand, three hundred seventy-six".