33165142720980 has 192 divisors, whose sum is σ = 103249705574400. Its totient is φ = 7919721008640.

The previous prime is 33165142720973. The next prime is 33165142720987. The reversal of 33165142720980 is 8902724156133.

It is an interprime number because it is at equal distance from previous prime (33165142720973) and next prime (33165142720987).

It is a super-3 number, since 3×33165142720980³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33165142720987) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9392695 + ... + 12431934.

It is an arithmetic number, because the mean of its divisors is an integer number (537758883200).

It is a 1-persistent number, because it is pandigital, but 2⋅33165142720980 = 66330285441960 is not.

Almost surely, 2^{33165142720980} is an apocalyptic number.

33165142720980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33165142720980 is an abundant number, since it is smaller than the sum of its proper divisors (70084562853420).

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

33165142720980 is a wasteful number, since it uses less digits than its factorization.

33165142720980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21824734 (or 21824732 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 33165142720980 in words is "thirty-three trillion, one hundred sixty-five billion, one hundred forty-two million, seven hundred twenty thousand, nine hundred eighty".