325913230540800 has 5760 divisors, whose sum is σ = 1561009616557200. Its totient is φ = 66422298378240.

The previous prime is 325913230540787. The next prime is 325913230540853. The reversal of 325913230540800 is 8045032319523.

325913230540800 is a `hidden beast` number, since 3 + 2 + 5 + 9 + 1 + 3 + 23 + 0 + 540 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 17153327923191 + ... + 17153327923209.

Almost surely, 2^{325913230540800} is an apocalyptic number.

325913230540800 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 325913230540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780504808278600).

325913230540800 is an abundant number, since it is smaller than the sum of its proper divisors (1235096386016400).

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

325913230540800 is an frugal number, since it uses more digits than its factorization.

325913230540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 325913230540800 in words is "three hundred twenty-five trillion, nine hundred thirteen billion, two hundred thirty million, five hundred forty thousand, eight hundred".