12568557456 has 800 divisors, whose sum is σ = 48396902400. Its totient is φ = 3056901120.

The previous prime is 12568557451. The next prime is 12568557479. The reversal of 12568557456 is 65475586521.

12568557456 is a `hidden beast` number, since 1 + 2 + 5 + 68 + 5 + 574 + 5 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12568557451) 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, 159095625 + ... + 159095703.

It is an arithmetic number, because the mean of its divisors is an integer number (60496128).

Almost surely, 2^12568557456 is an apocalyptic number.

12568557456 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 12568557456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24198451200).

12568557456 is an abundant number, since it is smaller than the sum of its proper divisors (35828344944).

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

12568557456 is a wasteful number, since it uses less digits than its factorization.

12568557456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its digits is 10080000, while the sum is 54.

The spelling of 12568557456 in words is "twelve billion, five hundred sixty-eight million, five hundred fifty-seven thousand, four hundred fifty-six".