325556530266240 has 3840 divisors, whose sum is σ = 1513975367520000. Its totient is φ = 66272863813632.

The previous prime is 325556530266221. The next prime is 325556530266293. The reversal of 325556530266240 is 42662035655523.

325556530266240 is a `hidden beast` number, since 3 + 2 + 5 + 5 + 5 + 6 + 5 + 3 + 0 + 2 + 6 + 624 + 0 = 666.

It is a super-3 number, since 3×325556530266240³ (a number of 45 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 232706597061 + ... + 232706598459.

It is an arithmetic number, because the mean of its divisors is an integer number (394264418625).

Almost surely, 2^{325556530266240} is an apocalyptic number.

325556530266240 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 325556530266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756987683760000).

325556530266240 is an abundant number, since it is smaller than the sum of its proper divisors (1188418837253760).

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

325556530266240 is an equidigital number, since it uses as much as digits as its factorization.

325556530266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 54.

The spelling of 325556530266240 in words is "three hundred twenty-five trillion, five hundred fifty-six billion, five hundred thirty million, two hundred sixty-six thousand, two hundred forty".