325428586560 has 672 divisors, whose sum is σ = 1425277181952. Its totient is φ = 66180648960.

The previous prime is 325428586541. The next prime is 325428586573. The reversal of 325428586560 is 65685824523.

325428586560 is a `hidden beast` number, since 3 + 2 + 5 + 4 + 2 + 8 + 586 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 325428586497 and 325428586506.

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, 10407109 + ... + 10438331.

Almost surely, 2^325428586560 is an apocalyptic number.

325428586560 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 325428586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712638590976).

325428586560 is an abundant number, since it is smaller than the sum of its proper divisors (1099848595392).

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

325428586560 is a wasteful number, since it uses less digits than its factorization.

325428586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31311 (or 31298 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 325428586560 in words is "three hundred twenty-five billion, four hundred twenty-eight million, five hundred eighty-six thousand, five hundred sixty".