16819918920 has 320 divisors, whose sum is σ = 65191547520. Its totient is φ = 3809949696.

The previous prime is 16819918909. The next prime is 16819918991. The reversal of 16819918920 is 2981991861.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2559559 + ... + 2566121.

It is an arithmetic number, because the mean of its divisors is an integer number (203723586).

Almost surely, 2^16819918920 is an apocalyptic number.

16819918920 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 16819918920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32595773760).

16819918920 is an abundant number, since it is smaller than the sum of its proper divisors (48371628600).

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

16819918920 is a wasteful number, since it uses less digits than its factorization.

16819918920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6706 (or 6693 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 16819918920 in words is "sixteen billion, eight hundred nineteen million, nine hundred eighteen thousand, nine hundred twenty".