327977133120000 has 7200 divisors, whose sum is σ = 1570162483169280. Its totient is φ = 65213890560000.

The previous prime is 327977133119983. The next prime is 327977133120037. The reversal of 327977133120000 is 21331779723.

327977133120000 is a `hidden beast` number, since 3 + 27 + 97 + 7 + 1 + 331 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

It is a super-2 number, since 2×327977133120000² (a number of 30 digits) contains 22 as substring.

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 polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 4151609279961 + ... + 4151609280039.

Almost surely, 2^{327977133120000} is an apocalyptic number.

327977133120000 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 327977133120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785081241584640).

327977133120000 is an abundant number, since it is smaller than the sum of its proper divisors (1242185350049280).

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

327977133120000 is a wasteful number, since it uses less digits than its factorization.

327977133120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

Adding to 327977133120000 its reverse (21331779723), we get a palindrome (327998464899723).

The spelling of 327977133120000 in words is "three hundred twenty-seven trillion, nine hundred seventy-seven billion, one hundred thirty-three million, one hundred twenty thousand".