325333958097600 has 1512 divisors, whose sum is σ = 1271115999369216. Its totient is φ = 78821683200000.

The previous prime is 325333958097571. The next prime is 325333958097637. The reversal of 325333958097600 is 6790859333523.

325333958097600 is a `hidden beast` number, since 3 + 2 + 533 + 3 + 9 + 5 + 8 + 0 + 97 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×325333958097600² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 55603134675 + ... + 55603140525.

It is an arithmetic number, because the mean of its divisors is an integer number (840685184768).

Almost surely, 2^{325333958097600} is an apocalyptic number.

325333958097600 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 325333958097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635557999684608).

325333958097600 is an abundant number, since it is smaller than the sum of its proper divisors (945782041271616).

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

325333958097600 is a wasteful number, since it uses less digits than its factorization.

325333958097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6375 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 110224800, while the sum is 63.

The spelling of 325333958097600 in words is "three hundred twenty-five trillion, three hundred thirty-three billion, nine hundred fifty-eight million, ninety-seven thousand, six hundred".