16819200000 has 504 divisors, whose sum is σ = 61560302076. Its totient is φ = 4423680000.

The previous prime is 16819199987. The next prime is 16819200029. The reversal of 16819200000 is 291861.

It can be written as a sum of positive squares in 6 ways, for example, as 1672482816 + 15146717184 = 40896^2 + 123072^2 .

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 230399964 + ... + 230400036.

Almost surely, 2^16819200000 is an apocalyptic number.

16819200000 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 16819200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30780151038).

16819200000 is an abundant number, since it is smaller than the sum of its proper divisors (44741102076).

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

16819200000 is an frugal number, since it uses more digits than its factorization.

16819200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 16819200000 its reverse (291861), we get a palindrome (16819491861).

The spelling of 16819200000 in words is "sixteen billion, eight hundred nineteen million, two hundred thousand".