325253244960 has 1152 divisors, whose sum is σ = 1430076211200. Its totient is φ = 68125224960.

The previous prime is 325253244887. The next prime is 325253244961. The reversal of 325253244960 is 69442352523.

325253244960 is a `hidden beast` number, since 3 + 2 + 52 + 532 + 4 + 4 + 9 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (325253244961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 160301226 + ... + 160303254.

It is an arithmetic number, because the mean of its divisors is an integer number (1241385600).

Almost surely, 2^325253244960 is an apocalyptic number.

325253244960 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 325253244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715038105600).

325253244960 is an abundant number, since it is smaller than the sum of its proper divisors (1104822966240).

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

325253244960 is a wasteful number, since it uses less digits than its factorization.

325253244960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 325253244960 in words is "three hundred twenty-five billion, two hundred fifty-three million, two hundred forty-four thousand, nine hundred sixty".