85822335217152 has 480 divisors, whose sum is σ = 255239429702400. Its totient is φ = 27745277607936.

The previous prime is 85822335217139. The next prime is 85822335217183. The reversal of 85822335217152 is 25171253322858.

85822335217152 is a `hidden beast` number, since 8 + 5 + 8 + 223 + 352 + 17 + 1 + 52 = 666.

It is a super-2 number, since 2×85822335217152² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32594884828 + ... + 32594887460.

It is an arithmetic number, because the mean of its divisors is an integer number (531748811880).

Almost surely, 2^{85822335217152} 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 85822335217152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127619714851200).

85822335217152 is an abundant number, since it is smaller than the sum of its proper divisors (169417094485248).

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

85822335217152 is a wasteful number, since it uses less digits than its factorization.

85822335217152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798 (or 3779 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 85822335217152 in words is "eighty-five trillion, eight hundred twenty-two billion, three hundred thirty-five million, two hundred seventeen thousand, one hundred fifty-two".