12623968800 has 576 divisors, whose sum is σ = 49946803200. Its totient is φ = 3063398400.

The previous prime is 12623968793. The next prime is 12623968843. The reversal of 12623968800 is 886932621.

12623968800 is a `hidden beast` number, since 12 + 623 + 9 + 6 + 8 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11382646 + ... + 11383754.

It is an arithmetic number, because the mean of its divisors is an integer number (86713200).

Almost surely, 2^12623968800 is an apocalyptic number.

12623968800 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 12623968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24973401600).

12623968800 is an abundant number, since it is smaller than the sum of its proper divisors (37322834400).

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

12623968800 is a wasteful number, since it uses less digits than its factorization.

12623968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1167 counting only the distinct ones).

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

The spelling of 12623968800 in words is "twelve billion, six hundred twenty-three million, nine hundred sixty-eight thousand, eight hundred".