12605563152 has 240 divisors, whose sum is σ = 44594368000. Its totient is φ = 3234567168.

The previous prime is 12605563151. The next prime is 12605563169. The reversal of 12605563152 is 25136550621.

12605563152 is a `hidden beast` number, since 1 + 26 + 0 + 556 + 31 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12605563151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471849 + ... + 497847.

Almost surely, 2^12605563152 is an apocalyptic number.

12605563152 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 12605563152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22297184000).

12605563152 is an abundant number, since it is smaller than the sum of its proper divisors (31988804848).

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

12605563152 is a wasteful number, since it uses less digits than its factorization.

12605563152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26070 (or 26061 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 12605563152 in words is "twelve billion, six hundred five million, five hundred sixty-three thousand, one hundred fifty-two".