3225553171200 has 648 divisors, whose sum is σ = 11705047204032. Its totient is φ = 847309332480.

The previous prime is 3225553171189. The next prime is 3225553171223. The reversal of 3225553171200 is 21713555223.

3225553171200 is a `hidden beast` number, since 3 + 2 + 2 + 55 + 531 + 71 + 2 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 2117893639 + ... + 2117895161.

Almost surely, 2^{3225553171200} is an apocalyptic number.

3225553171200 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 3225553171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852523602016).

3225553171200 is an abundant number, since it is smaller than the sum of its proper divisors (8479494032832).

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

3225553171200 is a wasteful number, since it uses less digits than its factorization.

3225553171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 3225553171200 in words is "three trillion, two hundred twenty-five billion, five hundred fifty-three million, one hundred seventy-one thousand, two hundred".