12885393600 has 336 divisors, whose sum is σ = 47155811200. Its totient is φ = 3422684160.

The previous prime is 12885393589. The next prime is 12885393611. The reversal of 12885393600 is 639358821.

It is a happy number.

12885393600 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 5 + 39 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (12885393589) and next prime (12885393611).

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16372407 + ... + 16373193.

Almost surely, 2^12885393600 is an apocalyptic number.

12885393600 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 12885393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23577905600).

12885393600 is an abundant number, since it is smaller than the sum of its proper divisors (34270417600).

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

12885393600 is a wasteful number, since it uses less digits than its factorization.

12885393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12885393600 in words is "twelve billion, eight hundred eighty-five million, three hundred ninety-three thousand, six hundred".