325915480800 has 864 divisors, whose sum is σ = 1438617922560. Its totient is φ = 67591065600.

The previous prime is 325915480777. The next prime is 325915480819. The reversal of 325915480800 is 8084519523.

325915480800 is a `hidden beast` number, since 3 + 2 + 5 + 91 + 5 + 480 + 80 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38652585 + ... + 38661015.

It is an arithmetic number, because the mean of its divisors is an integer number (1665067040).

Almost surely, 2^325915480800 is an apocalyptic number.

325915480800 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 325915480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719308961280).

325915480800 is an abundant number, since it is smaller than the sum of its proper divisors (1112702441760).

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

325915480800 is a wasteful number, since it uses less digits than its factorization.

325915480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8536 (or 8520 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 325915480800 in words is "three hundred twenty-five billion, nine hundred fifteen million, four hundred eighty thousand, eight hundred".