33120380160 has 432 divisors, whose sum is σ = 135198336000. Its totient is φ = 7325614080.

The previous prime is 33120380159. The next prime is 33120380173. The reversal of 33120380160 is 6108302133.

It is a happy number.

33120380160 is a `hidden beast` number, since 3 + 3 + 120 + 380 + 160 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2493216 + ... + 2506464.

Almost surely, 2^33120380160 is an apocalyptic number.

33120380160 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 33120380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67599168000).

33120380160 is an abundant number, since it is smaller than the sum of its proper divisors (102077955840).

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

33120380160 is a wasteful number, since it uses less digits than its factorization.

33120380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13314 (or 13297 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 33120380160 its reverse (6108302133), we get a palindrome (39228682293).

The spelling of 33120380160 in words is "thirty-three billion, one hundred twenty million, three hundred eighty thousand, one hundred sixty".