86009322753 has 48 divisors (see below), whose sum is σ = 127082906496. Its totient is φ = 56043187200.

The previous prime is 86009322713. The next prime is 86009322757. The reversal of 86009322753 is 35722390068.

86009322753 is a `hidden beast` number, since 8 + 600 + 9 + 32 + 2 + 7 + 5 + 3 = 666.

It is not a de Polignac number, because 86009322753 - 2⁹ = 86009322241 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 86009322699 and 86009322708.

It is not an unprimeable number, because it can be changed into a prime (86009322757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42939250 + ... + 42941252.

It is an arithmetic number, because the mean of its divisors is an integer number (2647560552).

Almost surely, 2^86009322753 is an apocalyptic number.

It is an amenable number.

86009322753 is a deficient number, since it is larger than the sum of its proper divisors (41073583743).

86009322753 is a wasteful number, since it uses less digits than its factorization.

86009322753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 86009322753 in words is "eighty-six billion, nine million, three hundred twenty-two thousand, seven hundred fifty-three".