85278725532 has 480 divisors, whose sum is σ = 309681630720. Its totient is φ = 19739220480.

The previous prime is 85278725527. The next prime is 85278725549. The reversal of 85278725532 is 23552787258.

85278725532 is a `hidden beast` number, since 8 + 5 + 2 + 7 + 87 + 2 + 553 + 2 = 666.

It is a super-2 number, since 2×85278725532² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9400863 + ... + 9409929.

It is an arithmetic number, because the mean of its divisors is an integer number (645170064).

Almost surely, 2^85278725532 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 85278725532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154840815360).

85278725532 is an abundant number, since it is smaller than the sum of its proper divisors (224402905188).

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

85278725532 is a wasteful number, since it uses less digits than its factorization.

85278725532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9143 (or 9132 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 54.

The spelling of 85278725532 in words is "eighty-five billion, two hundred seventy-eight million, seven hundred twenty-five thousand, five hundred thirty-two".