12585791207808 has 1728 divisors, whose sum is σ = 48691336271760. Its totient is φ = 3207394713600.

The previous prime is 12585791207791. The next prime is 12585791207861. The reversal of 12585791207808 is 80870219758521.

12585791207808 is a `hidden beast` number, since 1 + 2 + 58 + 579 + 1 + 2 + 0 + 7 + 8 + 0 + 8 = 666.

12585791207808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 215 ways as a sum of consecutive naturals, for example, 19040530998 + ... + 19040531658.

Almost surely, 2^{12585791207808} is an apocalyptic number.

12585791207808 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 12585791207808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24345668135880).

12585791207808 is an abundant number, since it is smaller than the sum of its proper divisors (36105545063952).

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

12585791207808 is an equidigital number, since it uses as much as digits as its factorization.

12585791207808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 63.

The spelling of 12585791207808 in words is "twelve trillion, five hundred eighty-five billion, seven hundred ninety-one million, two hundred seven thousand, eight hundred eight".