85293508896 has 96 divisors (see below), whose sum is σ = 248870160000. Its totient is φ = 28420035840.

The previous prime is 85293508889. The next prime is 85293508897. The reversal of 85293508896 is 69880539258.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×85293508896² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85293508897) 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 15 ways as a sum of consecutive naturals, for example, 2357181 + ... + 2393091.

It is an arithmetic number, because the mean of its divisors is an integer number (2592397500).

Almost surely, 2^85293508896 is an apocalyptic number.

It is an amenable number.

85293508896 is an abundant number, since it is smaller than the sum of its proper divisors (163576651104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85293508896 is a wasteful number, since it uses less digits than its factorization.

85293508896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38679 (or 38665 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 85293508896 in words is "eighty-five billion, two hundred ninety-three million, five hundred eight thousand, eight hundred ninety-six".