12542461563060 has 576 divisors, whose sum is σ = 45865687795200. Its totient is φ = 2733539328000.

The previous prime is 12542461563043. The next prime is 12542461563077. The reversal of 12542461563060 is 6036516424521.

12542461563060 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 2 + 4 + 6 + 1 + 5 + 630 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12542461563043) and next prime (12542461563077).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 12542461562997 and 12542461563015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 632138740 + ... + 632158580.

It is an arithmetic number, because the mean of its divisors is an integer number (79627930200).

Almost surely, 2^{12542461563060} is an apocalyptic number.

12542461563060 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 12542461563060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22932843897600).

12542461563060 is an abundant number, since it is smaller than the sum of its proper divisors (33323226232140).

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

12542461563060 is a wasteful number, since it uses less digits than its factorization.

12542461563060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20520 (or 20515 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

Adding to 12542461563060 its reverse (6036516424521), we get a palindrome (18578977987581).

The spelling of 12542461563060 in words is "twelve trillion, five hundred forty-two billion, four hundred sixty-one million, five hundred sixty-three thousand, sixty".