325904871600 has 960 divisors, whose sum is σ = 1531346273280. Its totient is φ = 63734169600.

The previous prime is 325904871599. The next prime is 325904871619. The reversal of 325904871600 is 6178409523.

325904871600 is a `hidden beast` number, since 3 + 2 + 5 + 9 + 0 + 487 + 160 + 0 = 666.

It is a super-2 number, since 2×325904871600² (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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14125674 + ... + 14148726.

It is an arithmetic number, because the mean of its divisors is an integer number (1595152368).

It is a 2-persistent number, because it is pandigital, and so is 2⋅325904871600 = 651809743200, but 3⋅325904871600 = 977714614800 is not.

Almost surely, 2^325904871600 is an apocalyptic number.

325904871600 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 325904871600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765673136640).

325904871600 is an abundant number, since it is smaller than the sum of its proper divisors (1205441401680).

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

325904871600 is a wasteful number, since it uses less digits than its factorization.

325904871600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23115 (or 23098 counting only the distinct ones).

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

The spelling of 325904871600 in words is "three hundred twenty-five billion, nine hundred four million, eight hundred seventy-one thousand, six hundred".