12641576800 has 72 divisors (see below), whose sum is σ = 31856836032. Its totient is φ = 4893504000.

The previous prime is 12641576797. The next prime is 12641576807. The reversal of 12641576800 is 867514621.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12641576807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 230071 + ... + 279670.

It is an arithmetic number, because the mean of its divisors is an integer number (442456056).

Almost surely, 2^12641576800 is an apocalyptic number.

12641576800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12641576800 is an abundant number, since it is smaller than the sum of its proper divisors (19215259232).

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

12641576800 is a wasteful number, since it uses less digits than its factorization.

12641576800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509792 (or 509779 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 12641576800 in words is "twelve billion, six hundred forty-one million, five hundred seventy-six thousand, eight hundred".