12896064000 has 640 divisors, whose sum is σ = 50557478400. Its totient is φ = 3229286400.

The previous prime is 12896063987. The next prime is 12896064029. The reversal of 12896064000 is 46069821.

12896064000 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 6 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 29375781 + ... + 29376219.

It is an arithmetic number, because the mean of its divisors is an integer number (78996060).

Almost surely, 2^12896064000 is an apocalyptic number.

12896064000 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 12896064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25278739200).

12896064000 is an abundant number, since it is smaller than the sum of its proper divisors (37661414400).

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

12896064000 is an equidigital number, since it uses as much as digits as its factorization.

12896064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12896064000 in words is "twelve billion, eight hundred ninety-six million, sixty-four thousand".