9905088032 has 72 divisors (see below), whose sum is σ = 22672371456. Its totient is φ = 4172759424.

The previous prime is 9905088031. The next prime is 9905088041. The reversal of 9905088032 is 2308805099.

It is a super-2 number, since 2×9905088032² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9905088031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 773393 + ... + 786095.

It is an arithmetic number, because the mean of its divisors is an integer number (314894048).

Almost surely, 2^9905088032 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 9905088032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11336185728).

9905088032 is an abundant number, since it is smaller than the sum of its proper divisors (12767283424).

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

9905088032 is a wasteful number, since it uses less digits than its factorization.

9905088032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12838 (or 12771 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 9905088032 is about 99524.3087491694. The cubic root of 9905088032 is about 2147.5969568850.

The spelling of 9905088032 in words is "nine billion, nine hundred five million, eighty-eight thousand, thirty-two".