12288588480 has 756 divisors, whose sum is σ = 51730241472. Its totient is φ = 2666926080.

The previous prime is 12288588479. The next prime is 12288588503. The reversal of 12288588480 is 8488588221.

12288588480 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 85 + 88 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 231860134 + ... + 231860186.

Almost surely, 2^12288588480 is an apocalyptic number.

12288588480 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 12288588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25865120736).

12288588480 is an abundant number, since it is smaller than the sum of its proper divisors (39441652992).

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

12288588480 is a wasteful number, since it uses less digits than its factorization.

12288588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 54.

The spelling of 12288588480 in words is "twelve billion, two hundred eighty-eight million, five hundred eighty-eight thousand, four hundred eighty".