325679838559488 has 864 divisors, whose sum is σ = 1155574997740800. Its totient is φ = 89507792683008.

The previous prime is 325679838559451. The next prime is 325679838559507. The reversal of 325679838559488 is 884955838976523.

325679838559488 is a `hidden beast` number, since 3 + 2 + 5 + 6 + 7 + 9 + 8 + 3 + 8 + 5 + 594 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 325679838559398 and 325679838559407.

It is a congruent number.

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, 3396944320 + ... + 3397040192.

It is an arithmetic number, because the mean of its divisors is an integer number (1337471062200).

Almost surely, 2^{325679838559488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325679838559488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577787498870400).

325679838559488 is an abundant number, since it is smaller than the sum of its proper divisors (829895159181312).

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

325679838559488 is an equidigital number, since it uses as much as digits as its factorization.

325679838559488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96209 (or 96183 counting only the distinct ones).

The product of its digits is 125411328000, while the sum is 90.

The spelling of 325679838559488 in words is "three hundred twenty-five trillion, six hundred seventy-nine billion, eight hundred thirty-eight million, five hundred fifty-nine thousand, four hundred eighty-eight".