12765266748 has 288 divisors, whose sum is σ = 38729396160. Its totient is φ = 3506872320.

The previous prime is 12765266747. The next prime is 12765266771. The reversal of 12765266748 is 84766256721.

It is a happy number.

12765266748 is a `hidden beast` number, since 1 + 2 + 76 + 526 + 6 + 7 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12765266694 and 12765266703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12765266747) 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 95 ways as a sum of consecutive naturals, for example, 14073711 + ... + 14074617.

It is an arithmetic number, because the mean of its divisors is an integer number (134477070).

Almost surely, 2^12765266748 is an apocalyptic number.

12765266748 is a gapful number since it is divisible by the number (18) 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 12765266748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19364698080).

12765266748 is an abundant number, since it is smaller than the sum of its proper divisors (25964129412).

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

12765266748 is a wasteful number, since it uses less digits than its factorization.

12765266748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1032 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

It can be divided in two parts, 1276 and 5266748, that added together give a cube (5268024 = 174³).

The spelling of 12765266748 in words is "twelve billion, seven hundred sixty-five million, two hundred sixty-six thousand, seven hundred forty-eight".