85293520032 has 192 divisors, whose sum is σ = 267757830144. Its totient is φ = 23259985920.

The previous prime is 85293520031. The next prime is 85293520049. The reversal of 85293520032 is 23002539258.

It is a super-4 number, since 4×85293520032⁴ (a number of 45 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (85293520031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1492693 + ... + 1548779.

It is an arithmetic number, because the mean of its divisors is an integer number (1394572032).

Almost surely, 2^85293520032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85293520032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133878915072).

85293520032 is an abundant number, since it is smaller than the sum of its proper divisors (182464310112).

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

85293520032 is a wasteful number, since it uses less digits than its factorization.

85293520032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56211 (or 56203 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 85293520032 in words is "eighty-five billion, two hundred ninety-three million, five hundred twenty thousand, thirty-two".