16819882000 has 40 divisors (see below), whose sum is σ = 40670479512. Its totient is φ = 6727952000.

The previous prime is 16819881961. The next prime is 16819882049. The reversal of 16819882000 is 28891861.

It can be written as a sum of positive squares in 4 ways, for example, as 5292853504 + 11527028496 = 72752^2 + 107364^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4202971 + ... + 4206970.

Almost surely, 2^16819882000 is an apocalyptic number.

16819882000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16819882000 is an abundant number, since it is smaller than the sum of its proper divisors (23850597512).

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

16819882000 is an equidigital number, since it uses as much as digits as its factorization.

16819882000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8409964 (or 8409948 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 43.

The spelling of 16819882000 in words is "sixteen billion, eight hundred nineteen million, eight hundred eighty-two thousand".