1327455216000 has 2560 divisors, whose sum is σ = 5618947276800. Its totient is φ = 309049344000.

The previous prime is 1327455215993. The next prime is 1327455216007. The reversal of 1327455216000 is 6125547231.

1327455216000 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 45 + 5 + 2 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1327455215993) and next prime (1327455216007).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327455216007) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 28243727977 + ... + 28243728023.

It is an arithmetic number, because the mean of its divisors is an integer number (2194901280).

Almost surely, 2^{1327455216000} is an apocalyptic number.

1327455216000 is a gapful number since it is divisible by the number (10) 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 1327455216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809473638400).

1327455216000 is an abundant number, since it is smaller than the sum of its proper divisors (4291492060800).

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

1327455216000 is a wasteful number, since it uses less digits than its factorization.

1327455216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 1327455216000 in words is "one trillion, three hundred twenty-seven billion, four hundred fifty-five million, two hundred sixteen thousand".