85443820880 has 90 divisors (see below), whose sum is σ = 218431913994. Its totient is φ = 31060022400.

The previous prime is 85443820831. The next prime is 85443820883. The reversal of 85443820880 is 8802834458.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 68355056704 + 17088764176 = 261448^2 + 130724^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85443820883) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 28757795 + ... + 28760765.

Almost surely, 2^85443820880 is an apocalyptic number.

85443820880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85443820880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109215956997).

85443820880 is an abundant number, since it is smaller than the sum of its proper divisors (132988093114).

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

85443820880 is an equidigital number, since it uses as much as digits as its factorization.

85443820880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5977 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 50.

The spelling of 85443820880 in words is "eighty-five billion, four hundred forty-three million, eight hundred twenty thousand, eight hundred eighty".