12585815979840 has 1344 divisors, whose sum is σ = 48303494553600. Its totient is φ = 2995993018368.

The previous prime is 12585815979787. The next prime is 12585815979911. The reversal of 12585815979840 is 4897951858521.

12585815979840 is a `hidden beast` number, since 1 + 25 + 8 + 5 + 8 + 1 + 597 + 9 + 8 + 4 + 0 = 666.

12585815979840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8073004981 + ... + 8073006539.

Almost surely, 2^{12585815979840} is an apocalyptic number.

12585815979840 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 12585815979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24151747276800).

12585815979840 is an abundant number, since it is smaller than the sum of its proper divisors (35717678573760).

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

12585815979840 is a wasteful number, since it uses less digits than its factorization.

12585815979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 290304000, while the sum is 72.

The spelling of 12585815979840 in words is "twelve trillion, five hundred eighty-five billion, eight hundred fifteen million, nine hundred seventy-nine thousand, eight hundred forty".