325980252530688 has 2304 divisors, whose sum is σ = 1150135270502400. Its totient is φ = 81422607974400.

The previous prime is 325980252530657. The next prime is 325980252530701. The reversal of 325980252530688 is 886035252089523.

It is a super-2 number, since 2×325980252530688² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 812918335288 + ... + 812918335688.

It is an arithmetic number, because the mean of its divisors is an integer number (499190655600).

Almost surely, 2^{325980252530688} is an apocalyptic number.

325980252530688 is a gapful number since it is divisible by the number (38) 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 325980252530688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575067635251200).

325980252530688 is an abundant number, since it is smaller than the sum of its proper divisors (824155017971712).

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

325980252530688 is a wasteful number, since it uses less digits than its factorization.

325980252530688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 248832000, while the sum is 66.

The spelling of 325980252530688 in words is "three hundred twenty-five trillion, nine hundred eighty billion, two hundred fifty-two million, five hundred thirty thousand, six hundred eighty-eight".