85173624432 has 240 divisors, whose sum is σ = 266916249600. Its totient is φ = 25177029120.

The previous prime is 85173624421. The next prime is 85173624439. The reversal of 85173624432 is 23442637158.

85173624432 is a `hidden beast` number, since 8 + 5 + 17 + 3 + 624 + 4 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85173624439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8061169 + ... + 8071727.

It is an arithmetic number, because the mean of its divisors is an integer number (1112151040).

Almost surely, 2^85173624432 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 85173624432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133458124800).

85173624432 is an abundant number, since it is smaller than the sum of its proper divisors (181742625168).

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

85173624432 is a wasteful number, since it uses less digits than its factorization.

85173624432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10756 (or 10747 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 85173624432 in words is "eighty-five billion, one hundred seventy-three million, six hundred twenty-four thousand, four hundred thirty-two".