12771053568 has 728 divisors, whose sum is σ = 48130053888. Its totient is φ = 3296526336.

The previous prime is 12771053563. The next prime is 12771053573. The reversal of 12771053568 is 86535017721.

It is a happy number.

12771053568 is a `hidden beast` number, since 1 + 2 + 77 + 10 + 5 + 3 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (12771053563) and next prime (12771053573).

It is a tau number, because it is divible by the number of its divisors (728).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12771053563) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 271724521 + ... + 271724567.

Almost surely, 2^12771053568 is an apocalyptic number.

12771053568 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 12771053568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24065026944).

12771053568 is an abundant number, since it is smaller than the sum of its proper divisors (35359000320).

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

12771053568 is an frugal number, since it uses more digits than its factorization.

12771053568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 12771053568 in words is "twelve billion, seven hundred seventy-one million, fifty-three thousand, five hundred sixty-eight".