1797009960960 has 832 divisors, whose sum is σ = 6598192556160. Its totient is φ = 469540012032.

The previous prime is 1797009960929. The next prime is 1797009961003. The reversal of 1797009960960 is 690699007971.

1797009960960 is a `hidden beast` number, since 17 + 9 + 7 + 0 + 0 + 9 + 9 + 609 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2373856902 + ... + 2373857658.

Almost surely, 2^{1797009960960} is an apocalyptic number.

1797009960960 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 1797009960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299096278080).

1797009960960 is an abundant number, since it is smaller than the sum of its proper divisors (4801182595200).

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

1797009960960 is an frugal number, since it uses more digits than its factorization.

1797009960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 11573604, while the sum is 63.

The spelling of 1797009960960 in words is "one trillion, seven hundred ninety-seven billion, nine million, nine hundred sixty thousand, nine hundred sixty".