325526037677568 has 1320 divisors, whose sum is σ = 1222276223721168. Its totient is φ = 85847941767168.

The previous prime is 325526037677527. The next prime is 325526037677663. The reversal of 325526037677568 is 865776730625523.

325526037677568 is a `hidden beast` number, since 3 + 2 + 5 + 5 + 2 + 603 + 7 + 6 + 7 + 7 + 5 + 6 + 8 = 666.

It is a super-2 number, since 2×325526037677568² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 325526037677496 and 325526037677505.

It is a congruent number.

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 131 ways as a sum of consecutive naturals, for example, 19258468605 + ... + 19258485507.

Almost surely, 2^{325526037677568} 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 325526037677568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611138111860584).

325526037677568 is an abundant number, since it is smaller than the sum of its proper divisors (896750186043600).

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

325526037677568 is an frugal number, since it uses more digits than its factorization.

325526037677568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16978 (or 16928 counting only the distinct ones).

The product of its (nonzero) digits is 2667168000, while the sum is 72.

The spelling of 325526037677568 in words is "three hundred twenty-five trillion, five hundred twenty-six billion, thirty-seven million, six hundred seventy-seven thousand, five hundred sixty-eight".