1827332100000 has 864 divisors, whose sum is σ = 7144805828160. Its totient is φ = 439296000000.

The previous prime is 1827332099981. The next prime is 1827332100019. The reversal of 1827332100000 is 12337281.

It is an interprime number because it is at equal distance from previous prime (1827332099981) and next prime (1827332100019).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1296899296 + ... + 1296900704.

It is an arithmetic number, because the mean of its divisors is an integer number (8269451190).

Almost surely, 2^{1827332100000} is an apocalyptic number.

1827332100000 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 1827332100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572402914080).

1827332100000 is an abundant number, since it is smaller than the sum of its proper divisors (5317473728160).

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

1827332100000 is a wasteful number, since it uses less digits than its factorization.

1827332100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 1827332100000 its reverse (12337281), we get a palindrome (1827344437281).

The spelling of 1827332100000 in words is "one trillion, eight hundred twenty-seven billion, three hundred thirty-two million, one hundred thousand".