12825588600 has 504 divisors, whose sum is σ = 49210313880. Its totient is φ = 3104956800.

The previous prime is 12825588599. The next prime is 12825588619. The reversal of 12825588600 is 688552821.

12825588600 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 5 + 588 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 17641437 + ... + 17642163.

Almost surely, 2^12825588600 is an apocalyptic number.

12825588600 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 12825588600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24605156940).

12825588600 is an abundant number, since it is smaller than the sum of its proper divisors (36384725280).

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

12825588600 is a wasteful number, since it uses less digits than its factorization.

12825588600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 12825588600 in words is "twelve billion, eight hundred twenty-five million, five hundred eighty-eight thousand, six hundred".