12587642074800 has 720 divisors, whose sum is σ = 47686330692000. Its totient is φ = 3074590771200.

The previous prime is 12587642074789. The next prime is 12587642074873. The reversal of 12587642074800 is 847024678521.

12587642074800 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 76 + 420 + 74 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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, 1036099126 + ... + 1036111274.

It is an arithmetic number, because the mean of its divisors is an integer number (66231014850).

Almost surely, 2^{12587642074800} is an apocalyptic number.

12587642074800 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 12587642074800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23843165346000).

12587642074800 is an abundant number, since it is smaller than the sum of its proper divisors (35098688617200).

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

12587642074800 is a wasteful number, since it uses less digits than its factorization.

12587642074800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12343 (or 12303 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 12587642074800 in words is "twelve trillion, five hundred eighty-seven billion, six hundred forty-two million, seventy-four thousand, eight hundred".