12585384001152 has 1024 divisors, whose sum is σ = 39693940070400. Its totient is φ = 3921528619008.

The previous prime is 12585384001123. The next prime is 12585384001193. The reversal of 12585384001152 is 25110048358521.

It is a happy number.

12585384001152 is a `hidden beast` number, since 1 + 2 + 58 + 538 + 4 + 0 + 0 + 11 + 52 = 666.

12585384001152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12585384001098 and 12585384001107.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80161681458 + ... + 80161681614.

It is an arithmetic number, because the mean of its divisors is an integer number (38763613350).

Almost surely, 2^{12585384001152} is an apocalyptic number.

12585384001152 is a gapful number since it is divisible by the number (12) 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 12585384001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19846970035200).

12585384001152 is an abundant number, since it is smaller than the sum of its proper divisors (27108556069248).

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

12585384001152 is a wasteful number, since it uses less digits than its factorization.

12585384001152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 12585384001152 in words is "twelve trillion, five hundred eighty-five billion, three hundred eighty-four million, one thousand, one hundred fifty-two".