16982202400 has 36 divisors (see below), whose sum is σ = 41457803562. Its totient is φ = 6792880640.

The previous prime is 16982202371. The next prime is 16982202403. The reversal of 16982202400 is 420228961.

16982202400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 15090648336 + 1891554064 = 122844^2 + 43492^2 .

It is not an unprimeable number, because it can be changed into a prime (16982202403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10613077 + ... + 10614676.

Almost surely, 2^16982202400 is an apocalyptic number.

16982202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16982202400 is an abundant number, since it is smaller than the sum of its proper divisors (24475601162).

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

16982202400 is a wasteful number, since it uses less digits than its factorization.

16982202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21227773 (or 21227760 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 16982202400 in words is "sixteen billion, nine hundred eighty-two million, two hundred two thousand, four hundred".