1081803340800 has 2772 divisors, whose sum is σ = 5077042273200. Its totient is φ = 228248616960.

The previous prime is 1081803340789. The next prime is 1081803340861. The reversal of 1081803340800 is 80433081801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 83215641594 + ... + 83215641606.

Almost surely, 2^{1081803340800} is an apocalyptic number.

1081803340800 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 1081803340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538521136600).

1081803340800 is an abundant number, since it is smaller than the sum of its proper divisors (3995238932400).

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

1081803340800 is an frugal number, since it uses more digits than its factorization.

1081803340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1081803340800 in words is "one trillion, eighty-one billion, eight hundred three million, three hundred forty thousand, eight hundred".