12755069754960 has 320 divisors, whose sum is σ = 45139922860032. Its totient is φ = 2951562067968.

The previous prime is 12755069754913. The next prime is 12755069755003. The reversal of 12755069754960 is 6945796055721.

It is a junction number, because it is equal to n+sod(n) for n = 12755069754891 and 12755069754900.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 45314977 + ... + 45595583.

Almost surely, 2^{12755069754960} is an apocalyptic number.

12755069754960 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 12755069754960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22569961430016).

12755069754960 is an abundant number, since it is smaller than the sum of its proper divisors (32384853105072).

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

12755069754960 is a wasteful number, since it uses less digits than its factorization.

12755069754960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281510 (or 281504 counting only the distinct ones).

The product of its (nonzero) digits is 142884000, while the sum is 66.

The spelling of 12755069754960 in words is "twelve trillion, seven hundred fifty-five billion, sixty-nine million, seven hundred fifty-four thousand, nine hundred sixty".