9953289072 has 100 divisors (see below), whose sum is σ = 28953218800. Its totient is φ = 3301005312.

The previous prime is 9953289043. The next prime is 9953289083. The reversal of 9953289072 is 2709823599.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 238608 + ... + 277200.

It is an arithmetic number, because the mean of its divisors is an integer number (289532188).

Almost surely, 2^9953289072 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 9953289072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14476609400).

9953289072 is an abundant number, since it is smaller than the sum of its proper divisors (18999929728).

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

9953289072 is a wasteful number, since it uses less digits than its factorization.

9953289072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38812 (or 38797 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 9953289072 is about 99766.1719822907. The cubic root of 9953289072 is about 2151.0749318854.

The spelling of 9953289072 in words is "nine billion, nine hundred fifty-three million, two hundred eighty-nine thousand, seventy-two".