12507542468016 has 80 divisors (see below), whose sum is σ = 32758820789376. Its totient is φ = 4111434643968.

The previous prime is 12507542468011. The next prime is 12507542468059. The reversal of 12507542468016 is 61086424570521.

It is a self number, because there is not a number n which added to its sum of digits gives 12507542468016.

It is not an unprimeable number, because it can be changed into a prime (12507542468011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22724811 + ... + 23268693.

Almost surely, 2^{12507542468016} is an apocalyptic number.

12507542468016 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 12507542468016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16379410394688).

12507542468016 is an abundant number, since it is smaller than the sum of its proper divisors (20251278321360).

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

12507542468016 is a wasteful number, since it uses less digits than its factorization.

12507542468016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550530 (or 550524 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 12507542468016 in words is "twelve trillion, five hundred seven billion, five hundred forty-two million, four hundred sixty-eight thousand, sixteen".