33393012057072 has 120 divisors (see below), whose sum is σ = 96963531159040. Its totient is φ = 11125466354880.

The previous prime is 33393012057071. The next prime is 33393012057127. The reversal of 33393012057072 is 27075021039333.

33393012057072 is a `hidden beast` number, since 3 + 3 + 3 + 9 + 3 + 0 + 1 + 2 + 0 + 570 + 72 = 666.

It is a super-2 number, since 2×33393012057072² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33393012057071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5683329 + ... + 9954207.

Almost surely, 2^{33393012057072} 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 33393012057072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48481765579520).

33393012057072 is an abundant number, since it is smaller than the sum of its proper divisors (63570519101968).

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

33393012057072 is a wasteful number, since it uses less digits than its factorization.

33393012057072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272913 (or 4272895 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 45.

The spelling of 33393012057072 in words is "thirty-three trillion, three hundred ninety-three billion, twelve million, fifty-seven thousand, seventy-two".