85829292417 has 32 divisors (see below), whose sum is σ = 129176542080. Its totient is φ = 50212753920.

The previous prime is 85829292391. The next prime is 85829292421. The reversal of 85829292417 is 71429292858.

It is not a de Polignac number, because 85829292417 - 2³⁴ = 68649423233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85829292617) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6344853 + ... + 6358365.

It is an arithmetic number, because the mean of its divisors is an integer number (4036766940).

Almost surely, 2^85829292417 is an apocalyptic number.

85829292417 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

85829292417 is a deficient number, since it is larger than the sum of its proper divisors (43347249663).

85829292417 is a wasteful number, since it uses less digits than its factorization.

85829292417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20193.

The product of its digits is 5806080, while the sum is 57.

The spelling of 85829292417 in words is "eighty-five billion, eight hundred twenty-nine million, two hundred ninety-two thousand, four hundred seventeen".