12587286864600 has 576 divisors, whose sum is σ = 50454498160800. Its totient is φ = 2875969152000.

The previous prime is 12587286864583. The next prime is 12587286864611. The reversal of 12587286864600 is 646868278521.

12587286864600 is a `hidden beast` number, since 1 + 2 + 587 + 2 + 8 + 6 + 8 + 6 + 46 + 0 + 0 = 666.

It is a super-2 number, since 2×12587286864600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 809932830 + ... + 809948370.

Almost surely, 2^{12587286864600} is an apocalyptic number.

12587286864600 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 12587286864600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25227249080400).

12587286864600 is an abundant number, since it is smaller than the sum of its proper divisors (37867211296200).

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

12587286864600 is a wasteful number, since it uses less digits than its factorization.

12587286864600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18641 (or 18619 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 12587286864600 in words is "twelve trillion, five hundred eighty-seven billion, two hundred eighty-six million, eight hundred sixty-four thousand, six hundred".