9959589792 has 96 divisors (see below), whose sum is σ = 29115495360. Its totient is φ = 3312241920.

The previous prime is 9959589769. The next prime is 9959589797. The reversal of 9959589792 is 2979859599.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 9959589792.

It is not an unprimeable number, because it can be changed into a prime (9959589797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369742 + ... + 395762.

It is an arithmetic number, because the mean of its divisors is an integer number (303286410).

Almost surely, 2^9959589792 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 9959589792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14557747680).

9959589792 is an abundant number, since it is smaller than the sum of its proper divisors (19155905568).

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

9959589792 is a wasteful number, since it uses less digits than its factorization.

9959589792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26483 (or 26469 counting only the distinct ones).

The product of its digits is 165337200, while the sum is 72.

The square root of 9959589792 is about 99797.7444234087. The cubic root of 9959589792 is about 2151.5287337015.

The spelling of 9959589792 in words is "nine billion, nine hundred fifty-nine million, five hundred eighty-nine thousand, seven hundred ninety-two".