325830574080 has 1064 divisors, whose sum is σ = 1320297272064. Its totient is φ = 76441190400.

The previous prime is 325830574067. The next prime is 325830574109. The reversal of 325830574080 is 80475038523.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10510663665 + ... + 10510663695.

Almost surely, 2^325830574080 is an apocalyptic number.

325830574080 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 325830574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660148636032).

325830574080 is an abundant number, since it is smaller than the sum of its proper divisors (994466697984).

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

325830574080 is an frugal number, since it uses more digits than its factorization.

325830574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 325830574080 in words is "three hundred twenty-five billion, eight hundred thirty million, five hundred seventy-four thousand, eighty".