12851884800 has 648 divisors, whose sum is σ = 48929680800. Its totient is φ = 3211591680.

The previous prime is 12851884741. The next prime is 12851884807. The reversal of 12851884800 is 848815821.

12851884800 is a `hidden beast` number, since 12 + 85 + 1 + 88 + 480 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12851884807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117907146 + ... + 117907254.

Almost surely, 2^12851884800 is an apocalyptic number.

12851884800 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 12851884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24464840400).

12851884800 is an abundant number, since it is smaller than the sum of its proper divisors (36077796000).

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

12851884800 is a wasteful number, since it uses less digits than its factorization.

12851884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 12851884800 in words is "twelve billion, eight hundred fifty-one million, eight hundred eighty-four thousand, eight hundred".