1797976720000 has 160 divisors (see below), whose sum is σ = 4478310856800. Its totient is φ = 718811520000.

The previous prime is 1797976719953. The next prime is 1797976720009. The reversal of 1797976720000 is 276797971.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (1797976720009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 189675261 + ... + 189684739.

It is an arithmetic number, because the mean of its divisors is an integer number (27989442855).

Almost surely, 2^{1797976720000} is an apocalyptic number.

1797976720000 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 1797976720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239155428400).

1797976720000 is an abundant number, since it is smaller than the sum of its proper divisors (2680334136800).

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

1797976720000 is an frugal number, since it uses more digits than its factorization.

1797976720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11884 (or 11857 counting only the distinct ones).

The product of its (nonzero) digits is 2333772, while the sum is 55.

The spelling of 1797976720000 in words is "one trillion, seven hundred ninety-seven billion, nine hundred seventy-six million, seven hundred twenty thousand".