325812988800 has 576 divisors, whose sum is σ = 1258583508000. Its totient is φ = 79778856960.

The previous prime is 325812988751. The next prime is 325812988841. The reversal of 325812988800 is 8889218523.

325812988800 is a `hidden beast` number, since 32 + 581 + 29 + 8 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74503414 + ... + 74507786.

Almost surely, 2^325812988800 is an apocalyptic number.

325812988800 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 325812988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629291754000).

325812988800 is an abundant number, since it is smaller than the sum of its proper divisors (932770519200).

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

325812988800 is a wasteful number, since it uses less digits than its factorization.

325812988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4615 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 325812988800 in words is "three hundred twenty-five billion, eight hundred twelve million, nine hundred eighty-eight thousand, eight hundred".