109830782880 has 1152 divisors, whose sum is σ = 501583380480. Its totient is φ = 21230346240.

The previous prime is 109830782839. The next prime is 109830782881. The reversal of 109830782880 is 88287038901.

It is not an unprimeable number, because it can be changed into a prime (109830782881) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 77181849 + ... + 77183271.

It is an arithmetic number, because the mean of its divisors is an integer number (435402240).

Almost surely, 2^109830782880 is an apocalyptic number.

109830782880 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 109830782880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250791690240).

109830782880 is an abundant number, since it is smaller than the sum of its proper divisors (391752597600).

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

109830782880 is a wasteful number, since it uses less digits than its factorization.

109830782880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 109830782880 in words is "one hundred nine billion, eight hundred thirty million, seven hundred eighty-two thousand, eight hundred eighty".