12637938560 has 128 divisors (see below), whose sum is σ = 32930422560. Its totient is φ = 4609843200.

The previous prime is 12637938527. The next prime is 12637938569. The reversal of 12637938560 is 6583973621.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 12637938499 and 12637938508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12637938569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681410 + ... + 699710.

Almost surely, 2^12637938560 is an apocalyptic number.

12637938560 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 12637938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465211280).

12637938560 is an abundant number, since it is smaller than the sum of its proper divisors (20292484000).

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

12637938560 is a wasteful number, since it uses less digits than its factorization.

12637938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18416 (or 18404 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 12637938560 in words is "twelve billion, six hundred thirty-seven million, nine hundred thirty-eight thousand, five hundred sixty".