33109138080 has 288 divisors, whose sum is σ = 115063236288. Its totient is φ = 8667648000.

The previous prime is 33109138063. The next prime is 33109138091. The reversal of 33109138080 is 8083190133.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 55089780 + ... + 55090380.

It is an arithmetic number, because the mean of its divisors is an integer number (399525126).

Almost surely, 2^33109138080 is an apocalyptic number.

33109138080 is a gapful number since it is divisible by the number (30) 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 33109138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57531618144).

33109138080 is an abundant number, since it is smaller than the sum of its proper divisors (81954098208).

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

33109138080 is a wasteful number, since it uses less digits than its factorization.

33109138080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 33109138080 in words is "thirty-three billion, one hundred nine million, one hundred thirty-eight thousand, eighty".