108519829408320 has 896 divisors, whose sum is σ = 411301361060352. Its totient is φ = 23942450380800.

The previous prime is 108519829408297. The next prime is 108519829408327. The reversal of 108519829408320 is 23804928915801.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (108519829408327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 831650922 + ... + 831781398.

It is an arithmetic number, because the mean of its divisors is an integer number (459041697612).

Almost surely, 2^{108519829408320} is an apocalyptic number.

108519829408320 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 108519829408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205650680530176).

108519829408320 is an abundant number, since it is smaller than the sum of its proper divisors (302781531652032).

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

108519829408320 is a wasteful number, since it uses less digits than its factorization.

108519829408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130679 (or 130669 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 60.

The spelling of 108519829408320 in words is "one hundred eight trillion, five hundred nineteen billion, eight hundred twenty-nine million, four hundred eight thousand, three hundred twenty".