10085065885767 has 32 divisors (see below), whose sum is σ = 14534896207104. Its totient is φ = 6196729075200.

The previous prime is 10085065885747. The next prime is 10085065885789. The reversal of 10085065885767 is 76758856058001.

It is not a de Polignac number, because 10085065885767 - 2¹⁵ = 10085065852999 is a prime.

It is a super-2 number, since 2×10085065885767² (a number of 27 digits) contains 22 as substring.

It is a partition number, being equal to the number of ways a set of 211 identical objects can be partitioned into subset.

It is a junction number, because it is equal to n+sod(n) for n = 10085065885698 and 10085065885707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10085065885717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6434209 + ... + 7846602.

It is an arithmetic number, because the mean of its divisors is an integer number (454215506472).

Almost surely, 2^{10085065885767} is an apocalyptic number.

10085065885767 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10085065885767 is a deficient number, since it is larger than the sum of its proper divisors (4449830321337).

10085065885767 is a wasteful number, since it uses less digits than its factorization.

10085065885767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14281119.

The product of its (nonzero) digits is 112896000, while the sum is 66.

The spelling of 10085065885767 in words is "ten trillion, eighty-five billion, sixty-five million, eight hundred eighty-five thousand, seven hundred sixty-seven".