325083139200 has 288 divisors, whose sum is σ = 1228206585060. Its totient is φ = 81589370880.

The previous prime is 325083139177. The next prime is 325083139247. The reversal of 325083139200 is 2931380523.

325083139200 is a `hidden beast` number, since 3 + 250 + 8 + 313 + 92 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 130517457984 + 194565681216 = 361272^2 + 441096^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 157612 + ... + 821588.

Almost surely, 2^325083139200 is an apocalyptic number.

325083139200 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 325083139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614103292530).

325083139200 is an abundant number, since it is smaller than the sum of its proper divisors (903123445860).

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

325083139200 is a wasteful number, since it uses less digits than its factorization.

325083139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664024 (or 664004 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 325083139200 in words is "three hundred twenty-five billion, eighty-three million, one hundred thirty-nine thousand, two hundred".