1827972187992 has 192 divisors, whose sum is σ = 5156440904160. Its totient is φ = 584556134400.

The previous prime is 1827972187981. The next prime is 1827972188023. The reversal of 1827972187992 is 2997812797281.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1827972187992.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 72609567 + ... + 72634737.

Almost surely, 2^{1827972187992} is an apocalyptic number.

1827972187992 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 1827972187992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578220452080).

1827972187992 is an abundant number, since it is smaller than the sum of its proper divisors (3328468716168).

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

1827972187992 is a wasteful number, since it uses less digits than its factorization.

1827972187992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25634 (or 25627 counting only the distinct ones).

The product of its digits is 128024064, while the sum is 72.

The spelling of 1827972187992 in words is "one trillion, eight hundred twenty-seven billion, nine hundred seventy-two million, one hundred eighty-seven thousand, nine hundred ninety-two".