12642643657500 has 240 divisors, whose sum is σ = 37023843077760. Its totient is φ = 3356643744000.

The previous prime is 12642643657499. The next prime is 12642643657537. The reversal of 12642643657500 is 575634624621.

12642643657500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4187690991 + ... + 4187694009.

It is an arithmetic number, because the mean of its divisors is an integer number (154266012824).

Almost surely, 2^{12642643657500} is an apocalyptic number.

12642643657500 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 12642643657500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18511921538880).

12642643657500 is an abundant number, since it is smaller than the sum of its proper divisors (24381199420260).

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

12642643657500 is a wasteful number, since it uses less digits than its factorization.

12642643657500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5302 (or 5285 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 12642643657500 in words is "twelve trillion, six hundred forty-two billion, six hundred forty-three million, six hundred fifty-seven thousand, five hundred".