33321160960 has 288 divisors, whose sum is σ = 85993205760. Its totient is φ = 12347596800.

The previous prime is 33321160949. The next prime is 33321160973. The reversal of 33321160960 is 6906112333.

It is a super-2 number, since 2×33321160960² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100667995 + ... + 100668325.

It is an arithmetic number, because the mean of its divisors is an integer number (298587520).

Almost surely, 2^33321160960 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 33321160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42996602880).

33321160960 is an abundant number, since it is smaller than the sum of its proper divisors (52672044800).

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

33321160960 is a wasteful number, since it uses less digits than its factorization.

33321160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The spelling of 33321160960 in words is "thirty-three billion, three hundred twenty-one million, one hundred sixty thousand, nine hundred sixty".