12767221057536 has 1008 divisors, whose sum is σ = 43539222062700. Its totient is φ = 3733913272320.

The previous prime is 12767221057517. The next prime is 12767221057559. The reversal of 12767221057536 is 63575012276721.

12767221057536 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 7 + 22 + 10 + 575 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11771376731136 + 995844326400 = 3430944^2 + 997920^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5238907710 + ... + 5238910146.

Almost surely, 2^{12767221057536} is an apocalyptic number.

12767221057536 is a gapful number since it is divisible by the number (16) 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 12767221057536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21769611031350).

12767221057536 is an abundant number, since it is smaller than the sum of its proper divisors (30772001005164).

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

12767221057536 is an equidigital number, since it uses as much as digits as its factorization.

12767221057536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 12767221057536 in words is "twelve trillion, seven hundred sixty-seven billion, two hundred twenty-one million, fifty-seven thousand, five hundred thirty-six".