325616578560 has 1248 divisors, whose sum is σ = 1442580572160. Its totient is φ = 68605968384.

The previous prime is 325616578543. The next prime is 325616578583. The reversal of 325616578560 is 65875616523.

It is a happy number.

325616578560 is a `hidden beast` number, since 3 + 2 + 5 + 6 + 1 + 6 + 5 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a junction number, because it is equal to n+sod(n) for n = 325616578497 and 325616578506.

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, 452873881 + ... + 452874599.

It is an arithmetic number, because the mean of its divisors is an integer number (1155913920).

Almost surely, 2^325616578560 is an apocalyptic number.

325616578560 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 325616578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721290286080).

325616578560 is an abundant number, since it is smaller than the sum of its proper divisors (1116963993600).

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

325616578560 is an equidigital number, since it uses as much as digits as its factorization.

325616578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 325616578560 in words is "three hundred twenty-five billion, six hundred sixteen million, five hundred seventy-eight thousand, five hundred sixty".