12587564808 has 192 divisors, whose sum is σ = 43271740800. Its totient is φ = 3319729920.

The previous prime is 12587564807. The next prime is 12587564833. The reversal of 12587564808 is 80846578521.

12587564808 is a `hidden beast` number, since 1 + 2 + 587 + 56 + 4 + 8 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12587564807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230898 + ... + 280158.

It is an arithmetic number, because the mean of its divisors is an integer number (225373650).

Almost surely, 2^12587564808 is an apocalyptic number.

12587564808 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 12587564808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21635870400).

12587564808 is an abundant number, since it is smaller than the sum of its proper divisors (30684175992).

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

12587564808 is a wasteful number, since it uses less digits than its factorization.

12587564808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49309 (or 49286 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 12587564808 in words is "twelve billion, five hundred eighty-seven million, five hundred sixty-four thousand, eight hundred eight".