325065826800 has 720 divisors, whose sum is σ = 1357695664416. Its totient is φ = 70963200000.

The previous prime is 325065826793. The next prime is 325065826801. The reversal of 325065826800 is 8628560523.

325065826800 is a `hidden beast` number, since 3 + 2 + 5 + 0 + 6 + 582 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325065826801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21099100 + ... + 21114500.

Almost surely, 2^325065826800 is an apocalyptic number.

325065826800 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 325065826800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678847832208).

325065826800 is an abundant number, since it is smaller than the sum of its proper divisors (1032629837616).

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

325065826800 is a wasteful number, since it uses less digits than its factorization.

325065826800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15490 (or 15476 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 325065826800 in words is "three hundred twenty-five billion, sixty-five million, eight hundred twenty-six thousand, eight hundred".