12853728000 has 1008 divisors, whose sum is σ = 52277752800. Its totient is φ = 3135283200.

The previous prime is 12853727989. The next prime is 12853728053. The reversal of 12853728000 is 82735821.

12853728000 is a `hidden beast` number, since 1 + 285 + 372 + 8 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 443231986 + ... + 443232014.

It is an arithmetic number, because the mean of its divisors is an integer number (51862850).

Almost surely, 2^12853728000 is an apocalyptic number.

12853728000 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 12853728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26138876400).

12853728000 is an abundant number, since it is smaller than the sum of its proper divisors (39424024800).

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

12853728000 is an frugal number, since it uses more digits than its factorization.

12853728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12853728000 in words is "twelve billion, eight hundred fifty-three million, seven hundred twenty-eight thousand".