108823868375040 has 3072 divisors, whose sum is σ = 492132828096000. Its totient is φ = 22923184177152.

The previous prime is 108823868375023. The next prime is 108823868375107. The reversal of 108823868375040 is 40573868328801.

108823868375040 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 2 + 38 + 68 + 37 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 177526701774 + ... + 177526702386.

Almost surely, 2^{108823868375040} is an apocalyptic number.

108823868375040 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 108823868375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246066414048000).

108823868375040 is an abundant number, since it is smaller than the sum of its proper divisors (383308959720960).

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

108823868375040 is an frugal number, since it uses more digits than its factorization.

108823868375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 108823868375040 in words is "one hundred eight trillion, eight hundred twenty-three billion, eight hundred sixty-eight million, three hundred seventy-five thousand, forty".