85438899000 has 768 divisors, whose sum is σ = 362849760000. Its totient is φ = 18018201600.

The previous prime is 85438898959. The next prime is 85438899001. The reversal of 85438899000 is 99883458.

It is a happy number.

85438899000 is a `hidden beast` number, since 8 + 543 + 8 + 8 + 9 + 90 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85438899001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 40129936 + ... + 40132064.

It is an arithmetic number, because the mean of its divisors is an integer number (472460625).

Almost surely, 2^85438899000 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 85438899000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181424880000).

85438899000 is an abundant number, since it is smaller than the sum of its proper divisors (277410861000).

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

85438899000 is a wasteful number, since it uses less digits than its factorization.

85438899000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 85438899000 in words is "eighty-five billion, four hundred thirty-eight million, eight hundred ninety-nine thousand".