12602566656 has 288 divisors, whose sum is σ = 38806185600. Its totient is φ = 4041031680.

The previous prime is 12602566651. The next prime is 12602566661. The reversal of 12602566656 is 65666520621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12602566651) and next prime (12602566661).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (12602566651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46503801 + ... + 46504071.

It is an arithmetic number, because the mean of its divisors is an integer number (134743700).

Almost surely, 2^12602566656 is an apocalyptic number.

12602566656 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 12602566656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19403092800).

12602566656 is an abundant number, since it is smaller than the sum of its proper divisors (26203618944).

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

12602566656 is an equidigital number, since it uses as much as digits as its factorization.

12602566656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 12602566656 in words is "twelve billion, six hundred two million, five hundred sixty-six thousand, six hundred fifty-six".