325284315998400 has 672 divisors, whose sum is σ = 1293944629743360. Its totient is φ = 78834585600000.

The previous prime is 325284315998381. The next prime is 325284315998419. The reversal of 325284315998400 is 4899513482523.

325284315998400 is a `hidden beast` number, since 3 + 2 + 5 + 2 + 8 + 4 + 31 + 599 + 8 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (325284315998381) and next prime (325284315998419).

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 95 ways as a sum of consecutive naturals, for example, 1718703775 + ... + 1718893025.

It is an arithmetic number, because the mean of its divisors is an integer number (1925512841880).

Almost surely, 2^{325284315998400} is an apocalyptic number.

325284315998400 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 325284315998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646972314871680).

325284315998400 is an abundant number, since it is smaller than the sum of its proper divisors (968660313744960).

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

325284315998400 is a wasteful number, since it uses less digits than its factorization.

325284315998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192910 (or 192889 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 325284315998400 in words is "three hundred twenty-five trillion, two hundred eighty-four billion, three hundred fifteen million, nine hundred ninety-eight thousand, four hundred".