3253325625120 has 192 divisors, whose sum is σ = 10794205255680. Its totient is φ = 821369945088.

The previous prime is 3253325625079. The next prime is 3253325625203. The reversal of 3253325625120 is 215265233523.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14324287 + ... + 14549633.

It is an arithmetic number, because the mean of its divisors is an integer number (56219819040).

Almost surely, 2^{3253325625120} is an apocalyptic number.

3253325625120 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 3253325625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397102627840).

3253325625120 is an abundant number, since it is smaller than the sum of its proper divisors (7540879630560).

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

3253325625120 is a wasteful number, since it uses less digits than its factorization.

3253325625120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226967 (or 226959 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 39.

The spelling of 3253325625120 in words is "three trillion, two hundred fifty-three billion, three hundred twenty-five million, six hundred twenty-five thousand, one hundred twenty".