85867802377667 has 16 divisors (see below), whose sum is σ = 88837764249600. Its totient is φ = 82910524984320.

The previous prime is 85867802377649. The next prime is 85867802377697. The reversal of 85867802377667 is 76677320876858.

It is a cyclic number.

It is not a de Polignac number, because 85867802377667 - 2¹⁴ = 85867802361283 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85867802377591 and 85867802377600.

It is not an unprimeable number, because it can be changed into a prime (85867802377697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26741084 + ... + 29779542.

It is an arithmetic number, because the mean of its divisors is an integer number (5552360265600).

Almost surely, 2^{85867802377667} is an apocalyptic number.

85867802377667 is a deficient number, since it is larger than the sum of its proper divisors (2969961871933).

85867802377667 is a wasteful number, since it uses less digits than its factorization.

85867802377667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040546.

The product of its (nonzero) digits is 7965941760, while the sum is 80.

The spelling of 85867802377667 in words is "eighty-five trillion, eight hundred sixty-seven billion, eight hundred two million, three hundred seventy-seven thousand, six hundred sixty-seven".