325001008800 has 1152 divisors, whose sum is σ = 1355358251520. Its totient is φ = 74450534400.

The previous prime is 325001008799. The next prime is 325001008811. The reversal of 325001008800 is 8800100523.

It is a happy number.

It is a super-3 number, since 3×325001008800³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 491680470 + ... + 491681130.

It is an arithmetic number, because the mean of its divisors is an integer number (1176526260).

Almost surely, 2^325001008800 is an apocalyptic number.

325001008800 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 325001008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677679125760).

325001008800 is an abundant number, since it is smaller than the sum of its proper divisors (1030357242720).

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

325001008800 is a wasteful number, since it uses less digits than its factorization.

325001008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 325001008800 in words is "three hundred twenty-five billion, one million, eight thousand, eight hundred".