325164188160 has 1920 divisors, whose sum is σ = 1468877414400. Its totient is φ = 67722117120.

The previous prime is 325164188147. The next prime is 325164188197. The reversal of 325164188160 is 61881461523.

325164188160 is a `hidden beast` number, since 3 + 2 + 516 + 41 + 88 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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, 1994872239 + ... + 1994872401.

It is an arithmetic number, because the mean of its divisors is an integer number (765040320).

Almost surely, 2^325164188160 is an apocalyptic number.

325164188160 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 325164188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734438707200).

325164188160 is an abundant number, since it is smaller than the sum of its proper divisors (1143713226240).

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

325164188160 is a wasteful number, since it uses less digits than its factorization.

325164188160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 325164188160 in words is "three hundred twenty-five billion, one hundred sixty-four million, one hundred eighty-eight thousand, one hundred sixty".