12587738169600 has 1728 divisors, whose sum is σ = 51735438720000. Its totient is φ = 2968982323200.

The previous prime is 12587738169571. The next prime is 12587738169689. The reversal of 12587738169600 is 696183778521.

12587738169600 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 7 + 7 + 3 + 8 + 16 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 11999749876 + ... + 11999750924.

It is an arithmetic number, because the mean of its divisors is an integer number (29939490000).

Almost surely, 2^{12587738169600} is an apocalyptic number.

12587738169600 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 12587738169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25867719360000).

12587738169600 is an abundant number, since it is smaller than the sum of its proper divisors (39147700550400).

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

12587738169600 is a wasteful number, since it uses less digits than its factorization.

12587738169600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 12587738169600 in words is "twelve trillion, five hundred eighty-seven billion, seven hundred thirty-eight million, one hundred sixty-nine thousand, six hundred".