1821798067600 has 405 divisors, whose sum is σ = 5277970404513. Its totient is φ = 602523936000.

The previous prime is 1821798067597. The next prime is 1821798067657. The reversal of 1821798067600 is 67608971281.

The square root of 1821798067600 is 1349740.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 655847304336 + 1165950763264 = 809844^2 + 1079792^2 .

It is a super-2 number, since 2×1821798067600² (a number of 25 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 5857871445 + ... + 5857871755.

Almost surely, 2^{1821798067600} is an apocalyptic number.

1821798067600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1821798067600 is the 1349740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1821798067600

1821798067600 is an abundant number, since it is smaller than the sum of its proper divisors (3456172336913).

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

1821798067600 is an equidigital number, since it uses as much as digits as its factorization.

1821798067600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 55.

The spelling of 1821798067600 in words is "one trillion, eight hundred twenty-one billion, seven hundred ninety-eight million, sixty-seven thousand, six hundred".