85400016317 has 16 divisors (see below), whose sum is σ = 106482941952. Its totient is φ = 66539095920.

The previous prime is 85400016311. The next prime is 85400016329. The reversal of 85400016317 is 71361000458.

It is not a de Polignac number, because 85400016317 - 2¹² = 85400012221 is a prime.

It is a super-3 number, since 3×85400016317³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85400016311) 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, 856988 + ... + 951434.

It is an arithmetic number, because the mean of its divisors is an integer number (6655183872).

Almost surely, 2^85400016317 is an apocalyptic number.

It is an amenable number.

85400016317 is a deficient number, since it is larger than the sum of its proper divisors (21082925635).

85400016317 is a wasteful number, since it uses less digits than its factorization.

85400016317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106208.

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 85400016317 in words is "eighty-five billion, four hundred million, sixteen thousand, three hundred seventeen".