9985575000 has 192 divisors, whose sum is σ = 31400490240. Its totient is φ = 2646000000.

The previous prime is 9985574941. The next prime is 9985575007. The reversal of 9985575000 is 5755899.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9985575007) 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, 15824685 + ... + 15825315.

It is an arithmetic number, because the mean of its divisors is an integer number (163544220).

Almost surely, 2^9985575000 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 9985575000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15700245120).

9985575000 is an abundant number, since it is smaller than the sum of its proper divisors (21414915240).

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

9985575000 is a wasteful number, since it uses less digits than its factorization.

9985575000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 48.

The square root of 9985575000 is about 99927.8489711452. The cubic root of 9985575000 is about 2153.3982675121.

The spelling of 9985575000 in words is "nine billion, nine hundred eighty-five million, five hundred seventy-five thousand".