325583755200 has 1344 divisors, whose sum is σ = 1405800023040. Its totient is φ = 72400896000.

The previous prime is 325583755199. The next prime is 325583755201. The reversal of 325583755200 is 2557385523.

It is a happy number.

325583755200 is a `hidden beast` number, since 3 + 2 + 5 + 58 + 3 + 75 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (325583755199) and next prime (325583755201).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (325583755201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 331213909 + ... + 331214891.

It is an arithmetic number, because the mean of its divisors is an integer number (1045982160).

Almost surely, 2^325583755200 is an apocalyptic number.

325583755200 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 325583755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702900011520).

325583755200 is an abundant number, since it is smaller than the sum of its proper divisors (1080216267840).

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

325583755200 is a wasteful number, since it uses less digits than its factorization.

325583755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 325583755200 in words is "three hundred twenty-five billion, five hundred eighty-three million, seven hundred fifty-five thousand, two hundred".