86859809059321 has 9 divisors (see below), whose sum is σ = 91672173734661. Its totient is φ = 82288072403964.

The previous prime is 86859809059319. The next prime is 86859809059327. The reversal of 86859809059321 is 12395090895868.

The square root of 86859809059321 is 9319861.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 86859809059321 - 2¹ = 86859809059319 is a prime.

It is a super-3 number, since 3×86859809059321³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86859809059327) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 176832100 + ... + 177322618.

It is an arithmetic number, because the mean of its divisors is an integer number (10185797081629).

Almost surely, 2^{86859809059321} is an apocalyptic number.

86859809059321 is the 9319861-st square number.

86859809059321 is the 4659931-st centered octagonal number.

It is an amenable number.

86859809059321 is a deficient number, since it is larger than the sum of its proper divisors (4812364675340).

86859809059321 is an frugal number, since it uses more digits than its factorization.

86859809059321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981076 (or 490538 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 73.

The spelling of 86859809059321 in words is "eighty-six trillion, eight hundred fifty-nine billion, eight hundred nine million, fifty-nine thousand, three hundred twenty-one".