12503505600 has 672 divisors, whose sum is σ = 47894077440. Its totient is φ = 3170119680.

The previous prime is 12503505589. The next prime is 12503505607. The reversal of 12503505600 is 650530521.

12503505600 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 3 + 50 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12503505607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98452737 + ... + 98452863.

Almost surely, 2^12503505600 is an apocalyptic number.

12503505600 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 12503505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23947038720).

12503505600 is an abundant number, since it is smaller than the sum of its proper divisors (35390571840).

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

12503505600 is a wasteful number, since it uses less digits than its factorization.

12503505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 12503505600 in words is "twelve billion, five hundred three million, five hundred five thousand, six hundred".