1821355916000 has 96 divisors (see below), whose sum is σ = 4492486750752. Its totient is φ = 725707161600.

The previous prime is 1821355915997. The next prime is 1821355916047. The reversal of 1821355916000 is 6195531281.

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 15 ways as a sum of consecutive naturals, for example, 142127 + ... + 1913873.

It is an arithmetic number, because the mean of its divisors is an integer number (46796736987).

Almost surely, 2^{1821355916000} is an apocalyptic number.

1821355916000 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 1821355916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246243375376).

1821355916000 is an abundant number, since it is smaller than the sum of its proper divisors (2671130834752).

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

1821355916000 is a wasteful number, since it uses less digits than its factorization.

1821355916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772029 (or 1772011 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 41.

The spelling of 1821355916000 in words is "one trillion, eight hundred twenty-one billion, three hundred fifty-five million, nine hundred sixteen thousand".