1327611213600 has 864 divisors, whose sum is σ = 5331331897920. Its totient is φ = 285318512640.

The previous prime is 1327611213569. The next prime is 1327611213601. The reversal of 1327611213600 is 63121167231.

It is not an unprimeable number, because it can be changed into a prime (1327611213601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 306110632 + ... + 306114968.

It is an arithmetic number, because the mean of its divisors is an integer number (6170523030).

Almost surely, 2^{1327611213600} is an apocalyptic number.

1327611213600 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 1327611213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665665948960).

1327611213600 is an abundant number, since it is smaller than the sum of its proper divisors (4003720684320).

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

1327611213600 is a wasteful number, since it uses less digits than its factorization.

1327611213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 1327611213600 in words is "one trillion, three hundred twenty-seven billion, six hundred eleven million, two hundred thirteen thousand, six hundred".