325391457600 has 1134 divisors, whose sum is σ = 1314350497278. Its totient is φ = 76285440000.

The previous prime is 325391457563. The next prime is 325391457607. The reversal of 325391457600 is 6754193523.

325391457600 is a `hidden beast` number, since 3 + 2 + 5 + 39 + 1 + 4 + 5 + 7 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 87114703104 + 238276754496 = 295152^2 + 488136^2 .

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 (325391457607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 3221697550 + ... + 3221697650.

Almost surely, 2^325391457600 is an apocalyptic number.

325391457600 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 325391457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657175248639).

325391457600 is an abundant number, since it is smaller than the sum of its proper divisors (988959039678).

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

325391457600 is a wasteful number, since it uses less digits than its factorization.

325391457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 325391457600 in words is "three hundred twenty-five billion, three hundred ninety-one million, four hundred fifty-seven thousand, six hundred".