12775541855520 has 384 divisors, whose sum is σ = 40823028449280. Its totient is φ = 3358132162560.

The previous prime is 12775541855519. The next prime is 12775541855569. The reversal of 12775541855520 is 2555814557721.

It is a happy number.

It is a Cunningham number, because it is equal to 3574289²-1.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7262956401 + ... + 7262958159.

It is an arithmetic number, because the mean of its divisors is an integer number (106309969920).

Almost surely, 2^{12775541855520} is an apocalyptic number.

12775541855520 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 12775541855520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20411514224640).

12775541855520 is an abundant number, since it is smaller than the sum of its proper divisors (28047486593760).

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

12775541855520 is a wasteful number, since it uses less digits than its factorization.

12775541855520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 19600000, while the sum is 57.

The spelling of 12775541855520 in words is "twelve trillion, seven hundred seventy-five billion, five hundred forty-one million, eight hundred fifty-five thousand, five hundred twenty".