805073898816 has 1344 divisors, whose sum is σ = 2923680614400. Its totient is φ = 218588958720.

The previous prime is 805073898781. The next prime is 805073898817. The reversal of 805073898816 is 618898370508.

805073898816 is a `hidden beast` number, since 8 + 0 + 507 + 38 + 9 + 88 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805073898817) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9045774100 + ... + 9045774188.

It is an arithmetic number, because the mean of its divisors is an integer number (2175357600).

Almost surely, 2^805073898816 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 805073898816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461840307200).

805073898816 is an abundant number, since it is smaller than the sum of its proper divisors (2118606715584).

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

805073898816 is a wasteful number, since it uses less digits than its factorization.

805073898816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 805073898816 in words is "eight hundred five billion, seventy-three million, eight hundred ninety-eight thousand, eight hundred sixteen".