9850824000 has 672 divisors, whose sum is σ = 37384768512. Its totient is φ = 2472960000.

The previous prime is 9850823987. The next prime is 9850824013. The reversal of 9850824000 is 4280589.

It is an interprime number because it is at equal distance from previous prime (9850823987) and next prime (9850824013).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138743965 + ... + 138744035.

It is an arithmetic number, because the mean of its divisors is an integer number (55632096).

Almost surely, 2^9850824000 is an apocalyptic number.

9850824000 is a gapful number since it is divisible by the number (90) 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 9850824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18692384256).

9850824000 is an abundant number, since it is smaller than the sum of its proper divisors (27533944512).

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

9850824000 is a wasteful number, since it uses less digits than its factorization.

9850824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 9850824000 is about 99251.3173716097. The cubic root of 9850824000 is about 2143.6679750566.

The spelling of 9850824000 in words is "nine billion, eight hundred fifty million, eight hundred twenty-four thousand".