821096762112 has 432 divisors, whose sum is σ = 2761786329120. Its totient is φ = 231849984000.

The previous prime is 821096762111. The next prime is 821096762113. The reversal of 821096762112 is 211267690128.

821096762112 is a `hidden beast` number, since 8 + 2 + 1 + 0 + 9 + 6 + 7 + 621 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (821096762111) and next prime (821096762113).

It is not an unprimeable number, because it can be changed into a prime (821096762111) 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 47 ways as a sum of consecutive naturals, for example, 43506214 + ... + 43525082.

It is an arithmetic number, because the mean of its divisors is an integer number (6393023910).

Almost surely, 2^821096762112 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 821096762112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380893164560).

821096762112 is an abundant number, since it is smaller than the sum of its proper divisors (1940689567008).

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

821096762112 is a wasteful number, since it uses less digits than its factorization.

821096762112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19020 (or 19003 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 821096762112 in words is "eight hundred twenty-one billion, ninety-six million, seven hundred sixty-two thousand, one hundred twelve".