19819800182016 has 432 divisors, whose sum is σ = 60029448880128. Its totient is φ = 6521389056000.

The previous prime is 19819800182003. The next prime is 19819800182107. The reversal of 19819800182016 is 61028100891891.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2419700481 + ... + 2419708671.

Almost surely, 2^{19819800182016} is an apocalyptic number.

19819800182016 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 19819800182016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30014724440064).

19819800182016 is an abundant number, since it is smaller than the sum of its proper divisors (40209648698112).

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

19819800182016 is an frugal number, since it uses more digits than its factorization.

19819800182016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8720 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 54.

The spelling of 19819800182016 in words is "nineteen trillion, eight hundred nineteen billion, eight hundred million, one hundred eighty-two thousand, sixteen".