327288061152 has 288 divisors, whose sum is σ = 1042147491840. Its totient is φ = 96749614080.

The previous prime is 327288061127. The next prime is 327288061211. The reversal of 327288061152 is 251160882723.

327288061152 is a `hidden beast` number, since 3 + 2 + 7 + 28 + 8 + 0 + 611 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 327288061098 and 327288061107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16122753 + ... + 16143039.

It is an arithmetic number, because the mean of its divisors is an integer number (3618567680).

Almost surely, 2^327288061152 is an apocalyptic number.

327288061152 is a gapful number since it is divisible by the number (32) 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 327288061152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521073745920).

327288061152 is an abundant number, since it is smaller than the sum of its proper divisors (714859430688).

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

327288061152 is a wasteful number, since it uses less digits than its factorization.

327288061152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20486 (or 20475 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 327288061152 in words is "three hundred twenty-seven billion, two hundred eighty-eight million, sixty-one thousand, one hundred fifty-two".