12582116568 has 384 divisors, whose sum is σ = 43015864320. Its totient is φ = 3239792640.

The previous prime is 12582116563. The next prime is 12582116593. The reversal of 12582116568 is 86561128521.

12582116568 is a `hidden beast` number, since 1 + 2 + 5 + 82 + 1 + 1 + 6 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12582116563) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33732030 + ... + 33732402.

It is an arithmetic number, because the mean of its divisors is an integer number (112020480).

Almost surely, 2^12582116568 is an apocalyptic number.

12582116568 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 12582116568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21507932160).

12582116568 is an abundant number, since it is smaller than the sum of its proper divisors (30433747752).

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

12582116568 is a wasteful number, since it uses less digits than its factorization.

12582116568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 560 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The spelling of 12582116568 in words is "twelve billion, five hundred eighty-two million, one hundred sixteen thousand, five hundred sixty-eight".