1821168000 has 192 divisors, whose sum is σ = 6540786720. Its totient is φ = 485606400.

The previous prime is 1821167987. The next prime is 1821168023. The reversal of 1821168000 is 8611281.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137677 + ... + 150323.

Almost surely, 2^1821168000 is an apocalyptic number.

1821168000 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 1821168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270393360).

1821168000 is an abundant number, since it is smaller than the sum of its proper divisors (4719618720).

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

1821168000 is a wasteful number, since it uses less digits than its factorization.

1821168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12682 (or 12657 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1821168000 is about 42675.1449909663. The cubic root of 1821168000 is about 1221.1902743433.

Adding to 1821168000 its reverse (8611281), we get a palindrome (1829779281).

The spelling of 1821168000 in words is "one billion, eight hundred twenty-one million, one hundred sixty-eight thousand".