12588666720 has 192 divisors, whose sum is σ = 45677592576. Its totient is φ = 2854656000.

The previous prime is 12588666661. The next prime is 12588666721. The reversal of 12588666720 is 2766688521.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12588666721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411970 + ... + 441470.

It is an arithmetic number, because the mean of its divisors is an integer number (237904128).

Almost surely, 2^12588666720 is an apocalyptic number.

12588666720 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 12588666720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22838796288).

12588666720 is an abundant number, since it is smaller than the sum of its proper divisors (33088925856).

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

12588666720 is a wasteful number, since it uses less digits than its factorization.

12588666720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29653 (or 29645 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 12588666720 in words is "twelve billion, five hundred eighty-eight million, six hundred sixty-six thousand, seven hundred twenty".