12884889600 has 936 divisors, whose sum is σ = 53238092544. Its totient is φ = 2949120000.

The previous prime is 12884889599. The next prime is 12884889613. The reversal of 12884889600 is 698848821.

12884889600 is a `hidden beast` number, since 1 + 28 + 8 + 4 + 8 + 8 + 9 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 314265580 + ... + 314265620.

It is an arithmetic number, because the mean of its divisors is an integer number (56878304).

Almost surely, 2^12884889600 is an apocalyptic number.

12884889600 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 12884889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26619046272).

12884889600 is an abundant number, since it is smaller than the sum of its proper divisors (40353202944).

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

12884889600 is a wasteful number, since it uses less digits than its factorization.

12884889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 12884889600 in words is "twelve billion, eight hundred eighty-four million, eight hundred eighty-nine thousand, six hundred".