19981800002016 has 72 divisors (see below), whose sum is σ = 57374925819120. Its totient is φ = 6595933971456.

The previous prime is 19981800001949. The next prime is 19981800002041. The reversal of 19981800002016 is 61020000818991.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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, 336772521 + ... + 336831848.

It is an arithmetic number, because the mean of its divisors is an integer number (796873969710).

Almost surely, 2^{19981800002016} is an apocalyptic number.

19981800002016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19981800002016 is an abundant number, since it is smaller than the sum of its proper divisors (37393125817104).

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

19981800002016 is a wasteful number, since it uses less digits than its factorization.

19981800002016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673604488 (or 673604477 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 19981800002016 in words is "nineteen trillion, nine hundred eighty-one billion, eight hundred million, two thousand, sixteen".