805524996096 has 240 divisors, whose sum is σ = 2371713072300. Its totient is φ = 263360348160.

The previous prime is 805524996077. The next prime is 805524996109. The reversal of 805524996096 is 690699425508.

805524996096 is a `hidden beast` number, since 8 + 0 + 5 + 52 + 499 + 6 + 0 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 753146265600 + 52378730496 = 867840^2 + 228864^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250083766 + ... + 250086986.

Almost surely, 2^805524996096 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 805524996096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185856536150).

805524996096 is an abundant number, since it is smaller than the sum of its proper divisors (1566188076204).

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

805524996096 is an frugal number, since it uses more digits than its factorization.

805524996096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 805524996096 in words is "eight hundred five billion, five hundred twenty-four million, nine hundred ninety-six thousand, ninety-six".