805395520512 has 1056 divisors, whose sum is σ = 2812369697280. Its totient is φ = 219361443840.

The previous prime is 805395520493. The next prime is 805395520609. The reversal of 805395520512 is 215025593508.

It is a happy number.

805395520512 is a `hidden beast` number, since 80 + 5 + 3 + 9 + 5 + 52 + 0 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2907564918 + ... + 2907565194.

It is an arithmetic number, because the mean of its divisors is an integer number (2663228880).

Almost surely, 2^805395520512 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 805395520512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406184848640).

805395520512 is an abundant number, since it is smaller than the sum of its proper divisors (2006974176768).

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

805395520512 is a wasteful number, since it uses less digits than its factorization.

805395520512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 805395520512 in words is "eight hundred five billion, three hundred ninety-five million, five hundred twenty thousand, five hundred twelve".