12506385600 has 252 divisors, whose sum is σ = 44895973200. Its totient is φ = 3301632000.

The previous prime is 12506385581. The next prime is 12506385601. The reversal of 12506385600 is 658360521.

12506385600 is a `hidden beast` number, since 12 + 5 + 0 + 6 + 38 + 5 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12506385601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1450101 + ... + 1458699.

Almost surely, 2^12506385600 is an apocalyptic number.

12506385600 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 12506385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22447986600).

12506385600 is an abundant number, since it is smaller than the sum of its proper divisors (32389587600).

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

12506385600 is a wasteful number, since it uses less digits than its factorization.

12506385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8728 (or 8710 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12506385600 in words is "twelve billion, five hundred six million, three hundred eighty-five thousand, six hundred".