1820099101824 has 192 divisors, whose sum is σ = 5267877638400. Its totient is φ = 603191685120.

The previous prime is 1820099101801. The next prime is 1820099101831. The reversal of 1820099101824 is 4281019900281.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 1820099101824.

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 23 ways as a sum of consecutive naturals, for example, 192986389 + ... + 192995819.

It is an arithmetic number, because the mean of its divisors is an integer number (27436862700).

Almost surely, 2^{1820099101824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1820099101824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633938819200).

1820099101824 is an abundant number, since it is smaller than the sum of its proper divisors (3447778536576).

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

1820099101824 is a wasteful number, since it uses less digits than its factorization.

1820099101824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10403 (or 10388 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 1820099101824 in words is "one trillion, eight hundred twenty billion, ninety-nine million, one hundred one thousand, eight hundred twenty-four".