12568458960 has 800 divisors, whose sum is σ = 49261132800. Its totient is φ = 2956124160.

The previous prime is 12568458953. The next prime is 12568458961. The reversal of 12568458960 is 6985486521.

12568458960 is a `hidden beast` number, since 1 + 2 + 56 + 8 + 4 + 589 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12568458897 and 12568458906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12568458961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 141218596 + ... + 141218684.

It is an arithmetic number, because the mean of its divisors is an integer number (61576416).

Almost surely, 2^12568458960 is an apocalyptic number.

12568458960 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 12568458960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24630566400).

12568458960 is an abundant number, since it is smaller than the sum of its proper divisors (36692673840).

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

12568458960 is a wasteful number, since it uses less digits than its factorization.

12568458960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 12568458960 in words is "twelve billion, five hundred sixty-eight million, four hundred fifty-eight thousand, nine hundred sixty".