1795441199616 has 320 divisors, whose sum is σ = 5565869654400. Its totient is φ = 577832693760.

The previous prime is 1795441199501. The next prime is 1795441199627. The reversal of 1795441199616 is 6169911445971.

1795441199616 is a `hidden beast` number, since 1 + 7 + 9 + 5 + 4 + 4 + 1 + 1 + 9 + 9 + 616 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32444931 + ... + 32500221.

It is an arithmetic number, because the mean of its divisors is an integer number (17393342670).

Almost surely, 2^{1795441199616} is an apocalyptic number.

1795441199616 is a gapful number since it is divisible by the number (16) 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 1795441199616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782934827200).

1795441199616 is an abundant number, since it is smaller than the sum of its proper divisors (3770428454784).

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

1795441199616 is an frugal number, since it uses more digits than its factorization.

1795441199616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55359 (or 55325 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 63.

The spelling of 1795441199616 in words is "one trillion, seven hundred ninety-five billion, four hundred forty-one million, one hundred ninety-nine thousand, six hundred sixteen".