12268520568 has 192 divisors, whose sum is σ = 35097753600. Its totient is φ = 3866400000.

The previous prime is 12268520567. The next prime is 12268520573. The reversal of 12268520568 is 86502586221.

It is a happy number.

12268520568 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 85 + 2 + 0 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12268520567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34173973 + ... + 34174331.

It is an arithmetic number, because the mean of its divisors is an integer number (182800800).

Almost surely, 2^12268520568 is an apocalyptic number.

12268520568 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 12268520568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17548876800).

12268520568 is an abundant number, since it is smaller than the sum of its proper divisors (22829233032).

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

12268520568 is a wasteful number, since it uses less digits than its factorization.

12268520568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 12268520568 in words is "twelve billion, two hundred sixty-eight million, five hundred twenty thousand, five hundred sixty-eight".