33125425200 has 480 divisors, whose sum is σ = 138044497920. Its totient is φ = 7386163200.

The previous prime is 33125425169. The next prime is 33125425243. The reversal of 33125425200 is 252452133.

It is a happy number.

33125425200 is a `hidden beast` number, since 3 + 31 + 2 + 5 + 425 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3094257 + ... + 3104943.

It is an arithmetic number, because the mean of its divisors is an integer number (287592704).

Almost surely, 2^33125425200 is an apocalyptic number.

33125425200 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 33125425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69022248960).

33125425200 is an abundant number, since it is smaller than the sum of its proper divisors (104919072720).

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

33125425200 is a wasteful number, since it uses less digits than its factorization.

33125425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10762 (or 10745 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 33125425200 its reverse (252452133), we get a palindrome (33377877333).

The spelling of 33125425200 in words is "thirty-three billion, one hundred twenty-five million, four hundred twenty-five thousand, two hundred".