33125255424 has 144 divisors (see below), whose sum is σ = 103113259200. Its totient is φ = 10460565504.

The previous prime is 33125255417. The next prime is 33125255453. The reversal of 33125255424 is 42455252133.

33125255424 is a `hidden beast` number, since 3 + 31 + 2 + 52 + 554 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5212 + ... + 257444.

It is an arithmetic number, because the mean of its divisors is an integer number (716064300).

Almost surely, 2^33125255424 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 33125255424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51556629600).

33125255424 is an abundant number, since it is smaller than the sum of its proper divisors (69988003776).

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

33125255424 is a wasteful number, since it uses less digits than its factorization.

33125255424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252277 (or 252257 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The spelling of 33125255424 in words is "thirty-three billion, one hundred twenty-five million, two hundred fifty-five thousand, four hundred twenty-four".