12938758560 has 1344 divisors, whose sum is σ = 59970129408. Its totient is φ = 2561974272.

The previous prime is 12938758447. The next prime is 12938758561. The reversal of 12938758560 is 6585783921.

12938758560 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 8 + 75 + 8 + 560 = 666.

It is a super-2 number, since 2×12938758560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12938758497 and 12938758506.

It is not an unprimeable number, because it can be changed into a prime (12938758561) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 244127494 + ... + 244127546.

It is an arithmetic number, because the mean of its divisors is an integer number (44620632).

Almost surely, 2^12938758560 is an apocalyptic number.

12938758560 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 12938758560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29985064704).

12938758560 is an abundant number, since it is smaller than the sum of its proper divisors (47031370848).

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

12938758560 is a wasteful number, since it uses less digits than its factorization.

12938758560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 12938758560 in words is "twelve billion, nine hundred thirty-eight million, seven hundred fifty-eight thousand, five hundred sixty".