12832696800 has 864 divisors, whose sum is σ = 57326330880. Its totient is φ = 2623795200.

The previous prime is 12832696783. The next prime is 12832696831. The reversal of 12832696800 is 869623821.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43797454 + ... + 43797746.

It is an arithmetic number, because the mean of its divisors is an integer number (66349920).

Almost surely, 2^12832696800 is an apocalyptic number.

12832696800 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 12832696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28663165440).

12832696800 is an abundant number, since it is smaller than the sum of its proper divisors (44493634080).

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

12832696800 is a wasteful number, since it uses less digits than its factorization.

12832696800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12832696800 in words is "twelve billion, eight hundred thirty-two million, six hundred ninety-six thousand, eight hundred".