12754272960 has 1344 divisors, whose sum is σ = 56662953984. Its totient is φ = 2687385600.

The previous prime is 12754272953. The next prime is 12754273019. The reversal of 12754272960 is 6927245721.

12754272960 is a `hidden beast` number, since 1 + 27 + 542 + 7 + 29 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 344710062 + ... + 344710098.

It is an arithmetic number, because the mean of its divisors is an integer number (42159936).

Almost surely, 2^12754272960 is an apocalyptic number.

12754272960 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 12754272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28331476992).

12754272960 is an abundant number, since it is smaller than the sum of its proper divisors (43908681024).

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

12754272960 is a wasteful number, since it uses less digits than its factorization.

12754272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12754272960 in words is "twelve billion, seven hundred fifty-four million, two hundred seventy-two thousand, nine hundred sixty".