12791556288 has 560 divisors, whose sum is σ = 45602371584. Its totient is φ = 3468718080.

The previous prime is 12791556251. The next prime is 12791556293. The reversal of 12791556288 is 88265519721.

12791556288 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 1 + 5 + 5 + 628 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 93368956 + ... + 93369092.

Almost surely, 2^12791556288 is an apocalyptic number.

12791556288 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 12791556288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22801185792).

12791556288 is an abundant number, since it is smaller than the sum of its proper divisors (32810815296).

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

12791556288 is a wasteful number, since it uses less digits than its factorization.

12791556288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 263 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 12791556288 in words is "twelve billion, seven hundred ninety-one million, five hundred fifty-six thousand, two hundred eighty-eight".