12587803600 has 60 divisors (see below), whose sum is σ = 30979853100. Its totient is φ = 4912307200.

The previous prime is 12587803567. The next prime is 12587803649. The reversal of 12587803600 is 630878521.

12587803600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2882401344 + 9705402256 = 53688^2 + 98516^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367375 + ... + 400174.

It is an arithmetic number, because the mean of its divisors is an integer number (516330885).

Almost surely, 2^12587803600 is an apocalyptic number.

12587803600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12587803600 is an abundant number, since it is smaller than the sum of its proper divisors (18392049500).

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

12587803600 is a wasteful number, since it uses less digits than its factorization.

12587803600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767608 (or 767597 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 12587803600 in words is "twelve billion, five hundred eighty-seven million, eight hundred three thousand, six hundred".