325213356216300 has 288 divisors, whose sum is σ = 954340277812992. Its totient is φ = 85497668459520.

The previous prime is 325213356216191. The next prime is 325213356216377. The reversal of 325213356216300 is 3612653312523.

It is a super-2 number, since 2×325213356216300² (a number of 30 digits) contains 22 as substring.

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, 19623074814 + ... + 19623091386.

It is an arithmetic number, because the mean of its divisors is an integer number (3313681520184).

Almost surely, 2^{325213356216300} is an apocalyptic number.

325213356216300 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 325213356216300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477170138906496).

325213356216300 is an abundant number, since it is smaller than the sum of its proper divisors (629126921596692).

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

325213356216300 is a wasteful number, since it uses less digits than its factorization.

325213356216300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19617 (or 19610 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 325213356216300 in words is "three hundred twenty-five trillion, two hundred thirteen billion, three hundred fifty-six million, two hundred sixteen thousand, three hundred".