108875968128 has 512 divisors, whose sum is σ = 348105600000. Its totient is φ = 33396240384.

The previous prime is 108875968127. The next prime is 108875968163. The reversal of 108875968128 is 821869578801.

108875968128 is a `hidden beast` number, since 10 + 8 + 8 + 7 + 596 + 8 + 1 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (108875968127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 608245543 + ... + 608245721.

It is an arithmetic number, because the mean of its divisors is an integer number (679893750).

Almost surely, 2^108875968128 is an apocalyptic number.

108875968128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108875968128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174052800000).

108875968128 is an abundant number, since it is smaller than the sum of its proper divisors (239229631872).

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

108875968128 is a wasteful number, since it uses less digits than its factorization.

108875968128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 63.

The spelling of 108875968128 in words is "one hundred eight billion, eight hundred seventy-five million, nine hundred sixty-eight thousand, one hundred twenty-eight".