19800018182016 has 192 divisors, whose sum is σ = 59002509421440. Its totient is φ = 6366692966400.

The previous prime is 19800018181981. The next prime is 19800018182069. The reversal of 19800018182016 is 61028181000891.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10292176 + ... + 12063536.

It is an arithmetic number, because the mean of its divisors is an integer number (307304736570).

Almost surely, 2^{19800018182016} is an apocalyptic number.

19800018182016 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 19800018182016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29501254710720).

19800018182016 is an abundant number, since it is smaller than the sum of its proper divisors (39202491239424).

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

19800018182016 is a wasteful number, since it uses less digits than its factorization.

19800018182016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771725 (or 1771710 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 45.

The spelling of 19800018182016 in words is "nineteen trillion, eight hundred billion, eighteen million, one hundred eighty-two thousand, sixteen".