108173728581120 has 480 divisors, whose sum is σ = 387070148424960. Its totient is φ = 27890603458560.

The previous prime is 108173728581053. The next prime is 108173728581157. The reversal of 108173728581120 is 21185827371801.

108173728581120 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 7 + 37 + 2 + 8 + 581 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 797738286 + ... + 797873874.

It is an arithmetic number, because the mean of its divisors is an integer number (806396142552).

Almost surely, 2^{108173728581120} is an apocalyptic number.

108173728581120 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 108173728581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193535074212480).

108173728581120 is an abundant number, since it is smaller than the sum of its proper divisors (278896419843840).

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

108173728581120 is a wasteful number, since it uses less digits than its factorization.

108173728581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136766 (or 136747 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 54.

The spelling of 108173728581120 in words is "one hundred eight trillion, one hundred seventy-three billion, seven hundred twenty-eight million, five hundred eighty-one thousand, one hundred twenty".