12805760448 has 560 divisors, whose sum is σ = 43939785120. Its totient is φ = 3654844416.

The previous prime is 12805760441. The next prime is 12805760477. The reversal of 12805760448 is 84406750821.

It is a super-2 number, since 2×12805760448² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12805760441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 93472636 + ... + 93472772.

It is an arithmetic number, because the mean of its divisors is an integer number (78463902).

Almost surely, 2^12805760448 is an apocalyptic number.

12805760448 is a gapful number since it is divisible by the number (18) 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 12805760448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21969892560).

12805760448 is an abundant number, since it is smaller than the sum of its proper divisors (31134024672).

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

12805760448 is a wasteful number, since it uses less digits than its factorization.

12805760448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 12805760448 in words is "twelve billion, eight hundred five million, seven hundred sixty thousand, four hundred forty-eight".