12896301600 has 864 divisors, whose sum is σ = 58122529920. Its totient is φ = 2720977920.

The previous prime is 12896301569. The next prime is 12896301629. The reversal of 12896301600 is 610369821.

12896301600 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 630 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 992023194 + ... + 992023206.

Almost surely, 2^12896301600 is an apocalyptic number.

12896301600 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 12896301600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29061264960).

12896301600 is an abundant number, since it is smaller than the sum of its proper divisors (45226228320).

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

12896301600 is an frugal number, since it uses more digits than its factorization.

12896301600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12896301600 in words is "twelve billion, eight hundred ninety-six million, three hundred one thousand, six hundred".