12791338560 has 2240 divisors, whose sum is σ = 66916523520. Its totient is φ = 2229534720.

The previous prime is 12791338541. The next prime is 12791338597. The reversal of 12791338560 is 6583319721.

12791338560 is a `hidden beast` number, since 1 + 2 + 79 + 13 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 441080626 + ... + 441080654.

It is an arithmetic number, because the mean of its divisors is an integer number (29873448).

Almost surely, 2^12791338560 is an apocalyptic number.

12791338560 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 12791338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33458261760).

12791338560 is an abundant number, since it is smaller than the sum of its proper divisors (54125184960).

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

12791338560 is a wasteful number, since it uses less digits than its factorization.

12791338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12791338560 in words is "twelve billion, seven hundred ninety-one million, three hundred thirty-eight thousand, five hundred sixty".