1681760000800 has 72 divisors (see below), whose sum is σ = 4478832680112. Its totient is φ = 611549088000.

The previous prime is 1681760000747. The next prime is 1681760000803. The reversal of 1681760000800 is 80000671861.

It is a self number, because there is not a number n which added to its sum of digits gives 1681760000800.

It is not an unprimeable number, because it can be changed into a prime (1681760000803) 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 11 ways as a sum of consecutive naturals, for example, 95545746 + ... + 95563345.

It is an arithmetic number, because the mean of its divisors is an integer number (62206009446).

Almost surely, 2^{1681760000800} is an apocalyptic number.

1681760000800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1681760000800 is an abundant number, since it is smaller than the sum of its proper divisors (2797072679312).

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

1681760000800 is a wasteful number, since it uses less digits than its factorization.

1681760000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191109122 (or 191109109 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 1681760000800 in words is "one trillion, six hundred eighty-one billion, seven hundred sixty million, eight hundred", and thus it is an aban number.