85133083032 has 144 divisors (see below), whose sum is σ = 240870520800. Its totient is φ = 27156176640.

The previous prime is 85133083003. The next prime is 85133083051. The reversal of 85133083032 is 23038033158.

85133083032 is a `hidden beast` number, since 8 + 513 + 30 + 83 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 6005569 + ... + 6019727.

It is an arithmetic number, because the mean of its divisors is an integer number (1672711950).

Almost surely, 2^85133083032 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 85133083032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120435260400).

85133083032 is an abundant number, since it is smaller than the sum of its proper divisors (155737437768).

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

85133083032 is a wasteful number, since it uses less digits than its factorization.

85133083032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14306 (or 14262 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 85133083032 in words is "eighty-five billion, one hundred thirty-three million, eighty-three thousand, thirty-two".