108859749405120 has 2016 divisors, whose sum is σ = 476211654696960. Its totient is φ = 23566042644480.

The previous prime is 108859749405101. The next prime is 108859749405137. The reversal of 108859749405120 is 21504947958801.

108859749405120 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 5 + 9 + 74 + 9 + 40 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5551509876 + ... + 5551529484.

It is an arithmetic number, because the mean of its divisors is an integer number (236216098560).

Almost surely, 2^{108859749405120} is an apocalyptic number.

108859749405120 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 108859749405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238105827348480).

108859749405120 is an abundant number, since it is smaller than the sum of its proper divisors (367351905291840).

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

108859749405120 is a wasteful number, since it uses less digits than its factorization.

108859749405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19733 (or 19704 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 108859749405120 in words is "one hundred eight trillion, eight hundred fifty-nine billion, seven hundred forty-nine million, four hundred five thousand, one hundred twenty".