109839082080 has 1536 divisors, whose sum is σ = 476195328000. Its totient is φ = 21069103104.

The previous prime is 109839082069. The next prime is 109839082091. The reversal of 109839082080 is 80280938901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (109839082069) and next prime (109839082091).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1504644924 + ... + 1504644996.

It is an arithmetic number, because the mean of its divisors is an integer number (310023000).

Almost surely, 2^109839082080 is an apocalyptic number.

109839082080 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 109839082080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238097664000).

109839082080 is an abundant number, since it is smaller than the sum of its proper divisors (366356245920).

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

109839082080 is a wasteful number, since it uses less digits than its factorization.

109839082080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 109839082080 in words is "one hundred nine billion, eight hundred thirty-nine million, eighty-two thousand, eighty".