1681419162880 has 72 divisors (see below), whose sum is σ = 4030903962792. Its totient is φ = 672003293184.

The previous prime is 1681419162853. The next prime is 1681419162889. The reversal of 1681419162880 is 882619141861.

It can be written as a sum of positive squares in 4 ways, for example, as 3544535296 + 1677874627584 = 59536^2 + 1295328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681419162889) 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 7 ways as a sum of consecutive naturals, for example, 976492 + ... + 2077588.

It is an arithmetic number, because the mean of its divisors is an integer number (55984777261).

Almost surely, 2^{1681419162880} is an apocalyptic number.

1681419162880 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 1681419162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015451981396).

1681419162880 is an abundant number, since it is smaller than the sum of its proper divisors (2349484799912).

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

1681419162880 is a wasteful number, since it uses less digits than its factorization.

1681419162880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102311 (or 1102297 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 55.

The spelling of 1681419162880 in words is "one trillion, six hundred eighty-one billion, four hundred nineteen million, one hundred sixty-two thousand, eight hundred eighty".