325861603200 has 1728 divisors, whose sum is σ = 1467681508800. Its totient is φ = 68609802240.

The previous prime is 325861603159. The next prime is 325861603211. The reversal of 325861603200 is 2306168523.

It is a happy number.

325861603200 is a `hidden beast` number, since 3 + 2 + 5 + 8 + 616 + 0 + 32 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 6933225577 + ... + 6933225623.

It is an arithmetic number, because the mean of its divisors is an integer number (849352725).

Almost surely, 2^325861603200 is an apocalyptic number.

325861603200 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 325861603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733840754400).

325861603200 is an abundant number, since it is smaller than the sum of its proper divisors (1141819905600).

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

325861603200 is a wasteful number, since it uses less digits than its factorization.

325861603200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 325861603200 in words is "three hundred twenty-five billion, eight hundred sixty-one million, six hundred three thousand, two hundred".