9995855968 has 96 divisors (see below), whose sum is σ = 23035622400. Its totient is φ = 4180999680.

The previous prime is 9995855941. The next prime is 9995855983. The reversal of 9995855968 is 8695585999.

It is a happy number.

Its product of digits (314928000) is a multiple of the sum of its prime factors (4500).

It is a self number, because there is not a number n which added to its sum of digits gives 9995855968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2360413 + ... + 2364643.

It is an arithmetic number, because the mean of its divisors is an integer number (239954400).

Almost surely, 2^9995855968 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 9995855968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11517811200).

9995855968 is an abundant number, since it is smaller than the sum of its proper divisors (13039766432).

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

9995855968 is a wasteful number, since it uses less digits than its factorization.

9995855968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4500 (or 4492 counting only the distinct ones).

The product of its digits is 314928000, while the sum is 73.

The square root of 9995855968 is about 99979.2776929299. The cubic root of 9995855968 is about 2154.1370473702.

The spelling of 9995855968 in words is "nine billion, nine hundred ninety-five million, eight hundred fifty-five thousand, nine hundred sixty-eight".