812893801600 has 96 divisors (see below), whose sum is σ = 2050827667200. Its totient is φ = 318239216640.

The previous prime is 812893801561. The next prime is 812893801609. The reversal of 812893801600 is 6108398218.

It is not an unprimeable number, because it can be changed into a prime (812893801609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2552040 + ... + 2852839.

It is an arithmetic number, because the mean of its divisors is an integer number (21362788200).

Almost surely, 2^812893801600 is an apocalyptic number.

812893801600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

812893801600 is an abundant number, since it is smaller than the sum of its proper divisors (1237933865600).

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

812893801600 is a wasteful number, since it uses less digits than its factorization.

812893801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5404950 (or 5404933 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 812893801600 in words is "eight hundred twelve billion, eight hundred ninety-three million, eight hundred one thousand, six hundred".