812691213600 has 576 divisors, whose sum is σ = 3133671432192. Its totient is φ = 179020800000.

The previous prime is 812691213577. The next prime is 812691213601. The reversal of 812691213600 is 6312196218.

It is not an unprimeable number, because it can be changed into a prime (812691213601) 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 95 ways as a sum of consecutive naturals, for example, 130717692 + ... + 130723908.

It is an arithmetic number, because the mean of its divisors is an integer number (5440401792).

Almost surely, 2^812691213600 is an apocalyptic number.

812691213600 is a gapful number since it is divisible by the number (80) 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 812691213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566835716096).

812691213600 is an abundant number, since it is smaller than the sum of its proper divisors (2320980218592).

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

812691213600 is a wasteful number, since it uses less digits than its factorization.

812691213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6529 (or 6516 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 812691213600 in words is "eight hundred twelve billion, six hundred ninety-one million, two hundred thirteen thousand, six hundred".