85200434271 has 6 divisors (see below), whose sum is σ = 123067293960. Its totient is φ = 56800289508.

The previous prime is 85200434257. The next prime is 85200434273. The reversal of 85200434271 is 17243400258.

It is a happy number.

It is not a de Polignac number, because 85200434271 - 2¹³ = 85200426079 is a prime.

It is a super-2 number, since 2×85200434271² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85200434273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4733357451 + ... + 4733357468.

It is an arithmetic number, because the mean of its divisors is an integer number (20511215660).

Almost surely, 2^85200434271 is an apocalyptic number.

85200434271 is a deficient number, since it is larger than the sum of its proper divisors (37866859689).

85200434271 is a wasteful number, since it uses less digits than its factorization.

85200434271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9466714925 (or 9466714922 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 85200434271 in words is "eighty-five billion, two hundred million, four hundred thirty-four thousand, two hundred seventy-one".