85803806304 has 96 divisors (see below), whose sum is σ = 257025011040. Its totient is φ = 27828251136.

The previous prime is 85803806293. The next prime is 85803806323. The reversal of 85803806304 is 40360830858.

85803806304 is a `hidden beast` number, since 8 + 5 + 8 + 0 + 3 + 8 + 0 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 85803806304.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1310059 + ... + 1373994.

It is an arithmetic number, because the mean of its divisors is an integer number (2677343865).

Almost surely, 2^85803806304 is an apocalyptic number.

It is an amenable number.

85803806304 is an abundant number, since it is smaller than the sum of its proper divisors (171221204736).

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

85803806304 is a wasteful number, since it uses less digits than its factorization.

85803806304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684109 (or 2684095 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 85803806304 in words is "eighty-five billion, eight hundred three million, eight hundred six thousand, three hundred four".