1327302547200 has 3456 divisors, whose sum is σ = 6384658022400. Its totient is φ = 266051174400.

The previous prime is 1327302547199. The next prime is 1327302547213. The reversal of 1327302547200 is 27452037231.

1327302547200 is a `hidden beast` number, since 1 + 327 + 302 + 5 + 4 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 42816211185 + ... + 42816211215.

Almost surely, 2^{1327302547200} is an apocalyptic number.

1327302547200 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 1327302547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192329011200).

1327302547200 is an abundant number, since it is smaller than the sum of its proper divisors (5057355475200).

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

1327302547200 is an equidigital number, since it uses as much as digits as its factorization.

1327302547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 1327302547200 in words is "one trillion, three hundred twenty-seven billion, three hundred two million, five hundred forty-seven thousand, two hundred".