33129888504 has 128 divisors (see below), whose sum is σ = 85977158400. Its totient is φ = 10630103040.

The previous prime is 33129888503. The next prime is 33129888527. The reversal of 33129888504 is 40588892133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33129888503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40850259 + ... + 40851069.

It is an arithmetic number, because the mean of its divisors is an integer number (671696550).

Almost surely, 2^33129888504 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 33129888504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42988579200).

33129888504 is an abundant number, since it is smaller than the sum of its proper divisors (52847269896).

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

33129888504 is a wasteful number, since it uses less digits than its factorization.

33129888504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 33129888504 in words is "thirty-three billion, one hundred twenty-nine million, eight hundred eighty-eight thousand, five hundred four".