16671691400 has 288 divisors, whose sum is σ = 49052485440. Its totient is φ = 5222730240.

The previous prime is 16671691391. The next prime is 16671691403. The reversal of 16671691400 is 419617661.

16671691400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16671691403) 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 71 ways as a sum of consecutive naturals, for example, 13631189 + ... + 13632411.

It is an arithmetic number, because the mean of its divisors is an integer number (170321130).

Almost surely, 2^16671691400 is an apocalyptic number.

16671691400 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 16671691400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24526242720).

16671691400 is an abundant number, since it is smaller than the sum of its proper divisors (32380794040).

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

16671691400 is a wasteful number, since it uses less digits than its factorization.

16671691400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The spelling of 16671691400 in words is "sixteen billion, six hundred seventy-one million, six hundred ninety-one thousand, four hundred".