109283878080 has 1120 divisors, whose sum is σ = 446110156800. Its totient is φ = 25189097472.

The previous prime is 109283878063. The next prime is 109283878133. The reversal of 109283878080 is 80878382901.

109283878080 is a `hidden beast` number, since 109 + 2 + 8 + 387 + 80 + 80 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 457254601 + ... + 457254839.

It is an arithmetic number, because the mean of its divisors is an integer number (398312640).

Almost surely, 2^109283878080 is an apocalyptic number.

109283878080 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 109283878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223055078400).

109283878080 is an abundant number, since it is smaller than the sum of its proper divisors (336826278720).

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

109283878080 is a wasteful number, since it uses less digits than its factorization.

109283878080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 344 counting only the distinct ones).

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

The spelling of 109283878080 in words is "one hundred nine billion, two hundred eighty-three million, eight hundred seventy-eight thousand, eighty".