1327191885000 has 720 divisors, whose sum is σ = 4869736185600. Its totient is φ = 338337648000.

The previous prime is 1327191884957. The next prime is 1327191885053. The reversal of 1327191885000 is 5881917231.

1327191885000 is a `hidden beast` number, since 132 + 7 + 1 + 9 + 1 + 8 + 8 + 500 + 0 = 666.

It is a super-2 number, since 2×1327191885000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 754514121 + ... + 754515879.

It is an arithmetic number, because the mean of its divisors is an integer number (6763522480).

Almost surely, 2^{1327191885000} is an apocalyptic number.

1327191885000 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 1327191885000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434868092800).

1327191885000 is an abundant number, since it is smaller than the sum of its proper divisors (3542544300600).

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

1327191885000 is an frugal number, since it uses more digits than its factorization.

1327191885000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 1327191885000 in words is "one trillion, three hundred twenty-seven billion, one hundred ninety-one million, eight hundred eighty-five thousand".