33506004060160 has 144 divisors (see below), whose sum is σ = 81013587536700. Its totient is φ = 13300023459840.

The previous prime is 33506004060107. The next prime is 33506004060163. The reversal of 33506004060160 is 6106040060533.

It can be written as a sum of positive squares in 2 ways, for example, as 31695278580736 + 1810725479424 = 5629856^2 + 1345632^2 .

It is a super-2 number, since 2×33506004060160² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33506004060163) 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 11 ways as a sum of consecutive naturals, for example, 175633306 + ... + 175823974.

Almost surely, 2^{33506004060160} 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 33506004060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40506793768350).

33506004060160 is an abundant number, since it is smaller than the sum of its proper divisors (47507583476540).

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

33506004060160 is an equidigital number, since it uses as much as digits as its factorization.

33506004060160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190958 (or 190807 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The spelling of 33506004060160 in words is "thirty-three trillion, five hundred six billion, four million, sixty thousand, one hundred sixty".