9882130225968 has 1440 divisors, whose sum is σ = 38869462195200. Its totient is φ = 2350320261120.

The previous prime is 9882130225943. The next prime is 9882130225969. The reversal of 9882130225968 is 8695220312889.

9882130225968 is a `hidden beast` number, since 9 + 8 + 8 + 2 + 1 + 30 + 2 + 2 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9882130225969) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16497712933 + ... + 16497713531.

It is an arithmetic number, because the mean of its divisors is an integer number (26992682080).

Almost surely, 2^{9882130225968} 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 9882130225968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19434731097600).

9882130225968 is an abundant number, since it is smaller than the sum of its proper divisors (28987331969232).

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

9882130225968 is a wasteful number, since it uses less digits than its factorization.

9882130225968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 9882130225968 in words is "nine trillion, eight hundred eighty-two billion, one hundred thirty million, two hundred twenty-five thousand, nine hundred sixty-eight".