108642820587840 has 2016 divisors, whose sum is σ = 499902976702080. Its totient is φ = 21963703910400.

The previous prime is 108642820587811. The next prime is 108642820587853. The reversal of 108642820587840 is 48785028246801.

108642820587840 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 4 + 2 + 8 + 2 + 0 + 587 + 8 + 40 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6375369720 + ... + 6375386760.

It is an arithmetic number, because the mean of its divisors is an integer number (247967746380).

Almost surely, 2^{108642820587840} is an apocalyptic number.

108642820587840 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 108642820587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249951488351040).

108642820587840 is an abundant number, since it is smaller than the sum of its proper divisors (391260156114240).

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

108642820587840 is a wasteful number, since it uses less digits than its factorization.

108642820587840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17166 (or 17106 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 63.

The spelling of 108642820587840 in words is "one hundred eight trillion, six hundred forty-two billion, eight hundred twenty million, five hundred eighty-seven thousand, eight hundred forty".