12583967760 has 640 divisors, whose sum is σ = 54139868160. Its totient is φ = 2615721984.

The previous prime is 12583967743. The next prime is 12583967791. The reversal of 12583967760 is 6776938521.

12583967760 is a `hidden beast` number, since 125 + 8 + 396 + 77 + 60 = 666.

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 = 12583967697 and 12583967706.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14348442 + ... + 14349318.

It is an arithmetic number, because the mean of its divisors is an integer number (84593544).

Almost surely, 2^12583967760 is an apocalyptic number.

12583967760 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 12583967760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27069934080).

12583967760 is an abundant number, since it is smaller than the sum of its proper divisors (41555900400).

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

12583967760 is a wasteful number, since it uses less digits than its factorization.

12583967760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 12583967760 in words is "twelve billion, five hundred eighty-three million, nine hundred sixty-seven thousand, seven hundred sixty".