325793008800 has 432 divisors, whose sum is σ = 1343488386240. Its totient is φ = 72734699520.

The previous prime is 325793008799. The next prime is 325793008901. The reversal of 325793008800 is 8800397523.

It is a super-2 number, since 2×325793008800² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2092036 + ... + 2242364.

It is an arithmetic number, because the mean of its divisors is an integer number (3109926820).

Almost surely, 2^325793008800 is an apocalyptic number.

325793008800 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 325793008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671744193120).

325793008800 is an abundant number, since it is smaller than the sum of its proper divisors (1017695377440).

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

325793008800 is a wasteful number, since it uses less digits than its factorization.

325793008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150405 (or 150389 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 325793008800 in words is "three hundred twenty-five billion, seven hundred ninety-three million, eight thousand, eight hundred".