12585220164 has 108 divisors (see below), whose sum is σ = 36095987200. Its totient is φ = 3690640800.

The previous prime is 12585220159. The next prime is 12585220211. The reversal of 12585220164 is 46102258521.

12585220164 is a `hidden beast` number, since 12 + 585 + 2 + 2 + 0 + 1 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88437 + ... + 181635.

Almost surely, 2^12585220164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12585220164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18047993600).

12585220164 is an abundant number, since it is smaller than the sum of its proper divisors (23510767036).

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

12585220164 is a wasteful number, since it uses less digits than its factorization.

12585220164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93262 (or 93246 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 12585220164 its reverse (46102258521), we get a palindrome (58687478685).

The spelling of 12585220164 in words is "twelve billion, five hundred eighty-five million, two hundred twenty thousand, one hundred sixty-four".