12638560720 has 80 divisors (see below), whose sum is σ = 31165183872. Its totient is φ = 4756308480.

The previous prime is 12638560681. The next prime is 12638560741. The reversal of 12638560720 is 2706583621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55939 + ... + 168541.

Almost surely, 2^12638560720 is an apocalyptic number.

12638560720 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 12638560720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15582591936).

12638560720 is an abundant number, since it is smaller than the sum of its proper divisors (18526623152).

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

12638560720 is a wasteful number, since it uses less digits than its factorization.

12638560720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112700 (or 112694 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 12638560720 in words is "twelve billion, six hundred thirty-eight million, five hundred sixty thousand, seven hundred twenty".