9850972320 has 288 divisors, whose sum is σ = 40679428608. Its totient is φ = 2119163904.

The previous prime is 9850972309. The next prime is 9850972333. The reversal of 9850972320 is 232790589.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142617 + ... + 200103.

It is an arithmetic number, because the mean of its divisors is an integer number (141248016).

Almost surely, 2^9850972320 is an apocalyptic number.

9850972320 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 9850972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20339714304).

9850972320 is an abundant number, since it is smaller than the sum of its proper divisors (30828456288).

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

9850972320 is a wasteful number, since it uses less digits than its factorization.

9850972320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57532 (or 57521 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 9850972320 is about 99252.0645629097. The cubic root of 9850972320 is about 2143.6787337924.

The spelling of 9850972320 in words is "nine billion, eight hundred fifty million, nine hundred seventy-two thousand, three hundred twenty".