85433482880 has 32 divisors (see below), whose sum is σ = 204239421540. Its totient is φ = 34173392896.

The previous prime is 85433482879. The next prime is 85433482909. The reversal of 85433482880 is 8828433458.

It can be written as a sum of positive squares in 2 ways, for example, as 80206771264 + 5226711616 = 283208^2 + 72296^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66744269 + ... + 66745548.

Almost surely, 2^85433482880 is an apocalyptic number.

85433482880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85433482880 is an abundant number, since it is smaller than the sum of its proper divisors (118805938660).

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

85433482880 is a wasteful number, since it uses less digits than its factorization.

85433482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133489836 (or 133489824 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 53.

The spelling of 85433482880 in words is "eighty-five billion, four hundred thirty-three million, four hundred eighty-two thousand, eight hundred eighty".