8891009952 has 96 divisors (see below), whose sum is σ = 25686279360. Its totient is φ = 2670366720.

The previous prime is 8891009951. The next prime is 8891009969. The reversal of 8891009952 is 2599001988.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 8891009895 and 8891009904.

It is not an unprimeable number, because it can be changed into a prime (8891009951) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 82074 + ... + 156582.

It is an arithmetic number, because the mean of its divisors is an integer number (267565410).

Almost surely, 2^8891009952 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 8891009952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12843139680).

8891009952 is an abundant number, since it is smaller than the sum of its proper divisors (16795269408).

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

8891009952 is a wasteful number, since it uses less digits than its factorization.

8891009952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74646 (or 74638 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 51.

The square root of 8891009952 is about 94292.1521230691. The cubic root of 8891009952 is about 2071.6530901050.

The spelling of 8891009952 in words is "eight billion, eight hundred ninety-one million, nine thousand, nine hundred fifty-two".