1827561848112 has 800 divisors, whose sum is σ = 7139027073024. Its totient is φ = 435891456000.

The previous prime is 1827561848111. The next prime is 1827561848179. The reversal of 1827561848112 is 2118481657281.

1827561848112 is a `hidden beast` number, since 1 + 8 + 2 + 7 + 5 + 618 + 4 + 8 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1827561848111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 255563737 + ... + 255570887.

Almost surely, 2^{1827561848112} is an apocalyptic number.

1827561848112 is a gapful number since it is divisible by the number (12) 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 1827561848112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569513536512).

1827561848112 is an abundant number, since it is smaller than the sum of its proper divisors (5311465224912).

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

1827561848112 is a wasteful number, since it uses less digits than its factorization.

1827561848112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7399 (or 7384 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 54.

The spelling of 1827561848112 in words is "one trillion, eight hundred twenty-seven billion, five hundred sixty-one million, eight hundred forty-eight thousand, one hundred twelve".