108852663972240 has 1920 divisors, whose sum is σ = 418409095104000. Its totient is φ = 26191459123200.

The previous prime is 108852663972229. The next prime is 108852663972271. The reversal of 108852663972240 is 42279366258801.

108852663972240 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 526 + 6 + 39 + 72 + 2 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 213855921106 + ... + 213855921614.

It is an arithmetic number, because the mean of its divisors is an integer number (217921403700).

It is a 1-persistent number, because it is pandigital, but 2⋅108852663972240 = 217705327944480 is not.

Almost surely, 2^{108852663972240} is an apocalyptic number.

108852663972240 is a gapful number since it is divisible by the number (10) 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 108852663972240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209204547552000).

108852663972240 is an abundant number, since it is smaller than the sum of its proper divisors (309556431131760).

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

108852663972240 is a wasteful number, since it uses less digits than its factorization.

108852663972240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 108852663972240 in words is "one hundred eight trillion, eight hundred fifty-two billion, six hundred sixty-three million, nine hundred seventy-two thousand, two hundred forty".