33085726128 has 640 divisors, whose sum is σ = 127831818240. Its totient is φ = 7942717440.

The previous prime is 33085726117. The next prime is 33085726129. The reversal of 33085726128 is 82162758033.

33085726128 is a `hidden beast` number, since 330 + 8 + 57 + 261 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (33085726129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20716626 + ... + 20718222.

It is an arithmetic number, because the mean of its divisors is an integer number (199737216).

Almost surely, 2^33085726128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33085726128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63915909120).

33085726128 is an abundant number, since it is smaller than the sum of its proper divisors (94746092112).

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

33085726128 is a wasteful number, since it uses less digits than its factorization.

33085726128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 33085726128 in words is "thirty-three billion, eighty-five million, seven hundred twenty-six thousand, one hundred twenty-eight".