85347287865 has 72 divisors (see below), whose sum is σ = 172649917440. Its totient is φ = 38888506944.

The previous prime is 85347287813. The next prime is 85347287873. The reversal of 85347287865 is 56878274358.

85347287865 is a `hidden beast` number, since 8 + 5 + 3 + 472 + 87 + 86 + 5 = 666.

It is not a de Polignac number, because 85347287865 - 2⁸ = 85347287609 is a prime.

It is a super-2 number, since 2×85347287865² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon 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 71 ways as a sum of consecutive naturals, for example, 613896 + ... + 739974.

It is an arithmetic number, because the mean of its divisors is an integer number (2397915520).

Almost surely, 2^85347287865 is an apocalyptic number.

It is an amenable number.

85347287865 is an abundant number, since it is smaller than the sum of its proper divisors (87302629575).

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

85347287865 is a wasteful number, since it uses less digits than its factorization.

85347287865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126411 (or 126401 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 85347287865 in words is "eighty-five billion, three hundred forty-seven million, two hundred eighty-seven thousand, eight hundred sixty-five".