33022080000000 has 3360 divisors, whose sum is σ = 154482975030384. Its totient is φ = 6967296000000.

The previous prime is 33022079999981. The next prime is 33022080000053. The reversal of 33022080000000 is 8022033.

It can be written as a sum of positive squares in 8 ways, for example, as 32734509502464 + 287570497536 = 5721408^2 + 536256^2 .

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2540159999994 + ... + 2540160000006.

Almost surely, 2^{33022080000000} is an apocalyptic number.

33022080000000 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 33022080000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77241487515192).

33022080000000 is an abundant number, since it is smaller than the sum of its proper divisors (121460895030384).

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

33022080000000 is an frugal number, since it uses more digits than its factorization.

33022080000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 33022080000000 its reverse (8022033), we get a palindrome (33022088022033).

The spelling of 33022080000000 in words is "thirty-three trillion, twenty-two billion, eighty million", and thus it is an aban number and an uban number.