12878283600 has 720 divisors, whose sum is σ = 57927542400. Its totient is φ = 2572922880.

The previous prime is 12878283553. The next prime is 12878283617. The reversal of 12878283600 is 638287821.

12878283600 is a `hidden beast` number, since 1 + 287 + 8 + 2 + 8 + 360 + 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 (45).

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, 6223366 + ... + 6225434.

It is an arithmetic number, because the mean of its divisors is an integer number (80454920).

Almost surely, 2^12878283600 is an apocalyptic number.

12878283600 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 12878283600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28963771200).

12878283600 is an abundant number, since it is smaller than the sum of its proper divisors (45049258800).

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

12878283600 is a wasteful number, since it uses less digits than its factorization.

12878283600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12878283600 in words is "twelve billion, eight hundred seventy-eight million, two hundred eighty-three thousand, six hundred".