1327167206400 has 1056 divisors, whose sum is σ = 5587952348160. Its totient is φ = 270446100480.

The previous prime is 1327167206353. The next prime is 1327167206489. The reversal of 1327167206400 is 46027617231.

It is a super-2 number, since 2×1327167206400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173640979 + ... + 173648621.

Almost surely, 2^{1327167206400} is an apocalyptic number.

1327167206400 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 1327167206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793976174080).

1327167206400 is an abundant number, since it is smaller than the sum of its proper divisors (4260785141760).

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

1327167206400 is a wasteful number, since it uses less digits than its factorization.

1327167206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7719 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 1327167206400 in words is "one trillion, three hundred twenty-seven billion, one hundred sixty-seven million, two hundred six thousand, four hundred".