86066575309 has 64 divisors (see below), whose sum is σ = 109697753088. Its totient is φ = 66417926400.

The previous prime is 86066575303. The next prime is 86066575313. The reversal of 86066575309 is 90357566068.

It is a cyclic number.

It is not a de Polignac number, because 86066575309 - 2²⁹ = 85529704397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 86066575309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86066575303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7046802 + ... + 7059004.

It is an arithmetic number, because the mean of its divisors is an integer number (1714027392).

Almost surely, 2^86066575309 is an apocalyptic number.

It is an amenable number.

86066575309 is a deficient number, since it is larger than the sum of its proper divisors (23631177779).

86066575309 is a wasteful number, since it uses less digits than its factorization.

86066575309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12338.

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 86066575309 in words is "eighty-six billion, sixty-six million, five hundred seventy-five thousand, three hundred nine".