108819171645120 has 1120 divisors, whose sum is σ = 405144498401280. Its totient is φ = 27693419028480.

The previous prime is 108819171644983. The next prime is 108819171645139. The reversal of 108819171645120 is 21546171918801.

108819171645120 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 19 + 171 + 6 + 451 + 2 + 0 = 666.

It is a super-2 number, since 2×108819171645120² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19688647797 + ... + 19688653323.

Almost surely, 2^{108819171645120} is an apocalyptic number.

108819171645120 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 108819171645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202572249200640).

108819171645120 is an abundant number, since it is smaller than the sum of its proper divisors (296325326756160).

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

108819171645120 is a wasteful number, since it uses less digits than its factorization.

108819171645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5923 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 54.

The spelling of 108819171645120 in words is "one hundred eight trillion, eight hundred nineteen billion, one hundred seventy-one million, six hundred forty-five thousand, one hundred twenty".