9955116288 has 432 divisors, whose sum is σ = 32621381520. Its totient is φ = 2898395136.

The previous prime is 9955116287. The next prime is 9955116313. The reversal of 9955116288 is 8826115599.

9955116288 is a `hidden beast` number, since 9 + 9 + 5 + 5 + 1 + 1 + 628 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 637461504 + 9317654784 = 25248^2 + 96528^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9955116287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63408306 + ... + 63408462.

Almost surely, 2^9955116288 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 9955116288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16310690760).

9955116288 is an abundant number, since it is smaller than the sum of its proper divisors (22666265232).

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

9955116288 is a wasteful number, since it uses less digits than its factorization.

9955116288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 277 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 54.

The square root of 9955116288 is about 99775.3290548320. The cubic root of 9955116288 is about 2151.2065546422.

The spelling of 9955116288 in words is "nine billion, nine hundred fifty-five million, one hundred sixteen thousand, two hundred eighty-eight".