33057221023872 has 192 divisors, whose sum is σ = 98659562277120. Its totient is φ = 10613078784000.

The previous prime is 33057221023861. The next prime is 33057221023891. The reversal of 33057221023872 is 27832012275033.

33057221023872 is a `hidden beast` number, since 3 + 3 + 0 + 57 + 2 + 210 + 2 + 387 + 2 = 666.

33057221023872 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×33057221023872² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5341722 + ... + 9728742.

It is an arithmetic number, because the mean of its divisors is an integer number (513851886860).

Almost surely, 2^{33057221023872} is an apocalyptic number.

33057221023872 is a gapful number since it is divisible by the number (32) 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 33057221023872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49329781138560).

33057221023872 is an abundant number, since it is smaller than the sum of its proper divisors (65602341253248).

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

33057221023872 is a wasteful number, since it uses less digits than its factorization.

33057221023872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4387283 (or 4387268 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 33057221023872 in words is "thirty-three trillion, fifty-seven billion, two hundred twenty-one million, twenty-three thousand, eight hundred seventy-two".