325393575001560 has 288 divisors, whose sum is σ = 1145491733917440. Its totient is φ = 80071933833216.

The previous prime is 325393575001511. The next prime is 325393575001613. The reversal of 325393575001560 is 65100575393523.

325393575001560 is a `hidden beast` number, since 3 + 2 + 5 + 3 + 9 + 3 + 5 + 75 + 0 + 0 + 1 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 325393575001497 and 325393575001506.

It is a congruent number.

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, 194891017 + ... + 196553543.

It is an arithmetic number, because the mean of its divisors is an integer number (3977401853880).

Almost surely, 2^{325393575001560} is an apocalyptic number.

325393575001560 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 325393575001560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572745866958720).

325393575001560 is an abundant number, since it is smaller than the sum of its proper divisors (820098158915880).

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

325393575001560 is a wasteful number, since it uses less digits than its factorization.

325393575001560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665787 (or 1665767 counting only the distinct ones).

The product of its (nonzero) digits is 12757500, while the sum is 54.

The spelling of 325393575001560 in words is "three hundred twenty-five trillion, three hundred ninety-three billion, five hundred seventy-five million, one thousand, five hundred sixty".