85940854272 has 480 divisors, whose sum is σ = 306715368960. Its totient is φ = 22558556160.

The previous prime is 85940854261. The next prime is 85940854319. The reversal of 85940854272 is 27245804958.

85940854272 is a `hidden beast` number, since 8 + 5 + 94 + 0 + 8 + 542 + 7 + 2 = 666.

It is a super-2 number, since 2×85940854272² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130410679 + ... + 130411337.

It is an arithmetic number, because the mean of its divisors is an integer number (638990352).

Almost surely, 2^85940854272 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 85940854272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153357684480).

85940854272 is an abundant number, since it is smaller than the sum of its proper divisors (220774514688).

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

85940854272 is a wasteful number, since it uses less digits than its factorization.

85940854272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 85940854272 in words is "eighty-five billion, nine hundred forty million, eight hundred fifty-four thousand, two hundred seventy-two".