12852075600 has 720 divisors, whose sum is σ = 56964881792. Its totient is φ = 2709780480.

The previous prime is 12852075583. The next prime is 12852075611. The reversal of 12852075600 is 657025821.

It is a happy number.

12852075600 is a `hidden beast` number, since 1 + 2 + 8 + 520 + 75 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8844474 + ... + 8845926.

Almost surely, 2^12852075600 is an apocalyptic number.

12852075600 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 12852075600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28482440896).

12852075600 is an abundant number, since it is smaller than the sum of its proper divisors (44112806192).

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

12852075600 is a wasteful number, since it uses less digits than its factorization.

12852075600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 12852075600 in words is "twelve billion, eight hundred fifty-two million, seventy-five thousand, six hundred".