9825608016 has 640 divisors, whose sum is σ = 35931033600. Its totient is φ = 2508226560.

The previous prime is 9825607969. The next prime is 9825608017. The reversal of 9825608016 is 6108065289.

9825608016 is a `hidden beast` number, since 9 + 8 + 2 + 560 + 80 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9825608017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101294880 + ... + 101294976.

It is an arithmetic number, because the mean of its divisors is an integer number (56142240).

Almost surely, 2^9825608016 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 9825608016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17965516800).

9825608016 is an abundant number, since it is smaller than the sum of its proper divisors (26105425584).

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

9825608016 is a wasteful number, since it uses less digits than its factorization.

9825608016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 9825608016 is about 99124.2049955509. The cubic root of 9825608016 is about 2141.8373029608.

The spelling of 9825608016 in words is "nine billion, eight hundred twenty-five million, six hundred eight thousand, sixteen".