9885332160 has 504 divisors, whose sum is σ = 39366840240. Its totient is φ = 2268794880.

The previous prime is 9885332137. The next prime is 9885332161. The reversal of 9885332160 is 612335889.

It is a happy number.

9885332160 is a `hidden beast` number, since 98 + 8 + 533 + 21 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9885332161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6620374 + ... + 6621866.

It is an arithmetic number, because the mean of its divisors is an integer number (78108810).

Almost surely, 2^9885332160 is an apocalyptic number.

9885332160 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 9885332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19683420120).

9885332160 is an abundant number, since it is smaller than the sum of its proper divisors (29481508080).

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

9885332160 is a wasteful number, since it uses less digits than its factorization.

9885332160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9885332160 is about 99425.0077193862. The cubic root of 9885332160 is about 2146.1681999568.

The spelling of 9885332160 in words is "nine billion, eight hundred eighty-five million, three hundred thirty-two thousand, one hundred sixty".