12542540666016 has 192 divisors, whose sum is σ = 35599691635200. Its totient is φ = 3853104546816.

The previous prime is 12542540665931. The next prime is 12542540666017. The reversal of 12542540666016 is 61066604524521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12542540666017) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 537395275 + ... + 537418613.

It is an arithmetic number, because the mean of its divisors is an integer number (185415060600).

Almost surely, 2^{12542540666016} is an apocalyptic number.

12542540666016 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 12542540666016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17799845817600).

12542540666016 is an abundant number, since it is smaller than the sum of its proper divisors (23057150969184).

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

12542540666016 is a wasteful number, since it uses less digits than its factorization.

12542540666016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31371 (or 31363 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 12542540666016 in words is "twelve trillion, five hundred forty-two billion, five hundred forty million, six hundred sixty-six thousand, sixteen".