812755593216 has 384 divisors, whose sum is σ = 2755928448000. Its totient is φ = 231843741696.

The previous prime is 812755593151. The next prime is 812755593217. The reversal of 812755593216 is 612395557218.

812755593216 is a `hidden beast` number, since 8 + 1 + 2 + 75 + 559 + 3 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (812755593217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320107275 + ... + 320109813.

It is an arithmetic number, because the mean of its divisors is an integer number (7176897000).

Almost surely, 2^812755593216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812755593216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377964224000).

812755593216 is an abundant number, since it is smaller than the sum of its proper divisors (1943172854784).

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

812755593216 is a wasteful number, since it uses less digits than its factorization.

812755593216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3378 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The spelling of 812755593216 in words is "eight hundred twelve billion, seven hundred fifty-five million, five hundred ninety-three thousand, two hundred sixteen".