86705387265 has 256 divisors, whose sum is σ = 178746163200. Its totient is φ = 35005436928.

The previous prime is 86705387261. The next prime is 86705387267. The reversal of 86705387265 is 56278350768.

It is not a de Polignac number, because 86705387265 - 2² = 86705387261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (86705387261) 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 255 ways as a sum of consecutive naturals, for example, 187268424 + ... + 187268886.

It is an arithmetic number, because the mean of its divisors is an integer number (698227200).

Almost surely, 2^86705387265 is an apocalyptic number.

It is an amenable number.

86705387265 is an abundant number, since it is smaller than the sum of its proper divisors (92040775935).

86705387265 is a wasteful number, since it uses less digits than its factorization.

86705387265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636.

The product of its (nonzero) digits is 16934400, while the sum is 57.

It can be divided in two parts, 8670 and 5387265, that added together give a palindrome (5395935).

The spelling of 86705387265 in words is "eighty-six billion, seven hundred five million, three hundred eighty-seven thousand, two hundred sixty-five".