805099102359552 has 3328 divisors, whose sum is σ = 3319872847872000. Its totient is φ = 186010081689600.

The previous prime is 805099102359511. The next prime is 805099102359577. The reversal of 805099102359552 is 255953201990508.

805099102359552 is a `hidden beast` number, since 8 + 0 + 5 + 0 + 9 + 9 + 1 + 0 + 23 + 59 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 805099102359552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1300644753099 + ... + 1300644753717.

Almost surely, 2^{805099102359552} 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 805099102359552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659936423936000).

805099102359552 is an abundant number, since it is smaller than the sum of its proper divisors (2514773745512448).

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

805099102359552 is a wasteful number, since it uses less digits than its factorization.

805099102359552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 43740000, while the sum is 63.

The spelling of 805099102359552 in words is "eight hundred five trillion, ninety-nine billion, one hundred two million, three hundred fifty-nine thousand, five hundred fifty-two".