12938398560 has 288 divisors, whose sum is σ = 45160996608. Its totient is φ = 3372364800.

The previous prime is 12938398549. The next prime is 12938398567. The reversal of 12938398560 is 6589383921.

12938398560 is a `hidden beast` number, since 12 + 9 + 38 + 39 + 8 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12938398497 and 12938398506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12938398567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12310035 + ... + 12311085.

It is an arithmetic number, because the mean of its divisors is an integer number (156809016).

Almost surely, 2^12938398560 is an apocalyptic number.

12938398560 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 12938398560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22580498304).

12938398560 is an abundant number, since it is smaller than the sum of its proper divisors (32222598048).

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

12938398560 is a wasteful number, since it uses less digits than its factorization.

12938398560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 12938398560 in words is "twelve billion, nine hundred thirty-eight million, three hundred ninety-eight thousand, five hundred sixty".