1681994012160 has 1920 divisors, whose sum is σ = 7356329164800. Its totient is φ = 319699353600.

The previous prime is 1681994012123. The next prime is 1681994012207. The reversal of 1681994012160 is 612104991861.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3831421221 + ... + 3831421659.

It is an arithmetic number, because the mean of its divisors is an integer number (3831421440).

Almost surely, 2^{1681994012160} is an apocalyptic number.

1681994012160 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 1681994012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678164582400).

1681994012160 is an abundant number, since it is smaller than the sum of its proper divisors (5674335152640).

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

1681994012160 is a wasteful number, since it uses less digits than its factorization.

1681994012160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The spelling of 1681994012160 in words is "one trillion, six hundred eighty-one billion, nine hundred ninety-four million, twelve thousand, one hundred sixty".