16677091200 has 864 divisors, whose sum is σ = 70475098680. Its totient is φ = 3453542400.

The previous prime is 16677091139. The next prime is 16677091201. The reversal of 16677091200 is 219077661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16677091201) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 56918254 + ... + 56918546.

Almost surely, 2^16677091200 is an apocalyptic number.

16677091200 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 16677091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35237549340).

16677091200 is an abundant number, since it is smaller than the sum of its proper divisors (53798007480).

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

16677091200 is a wasteful number, since it uses less digits than its factorization.

16677091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The spelling of 16677091200 in words is "sixteen billion, six hundred seventy-seven million, ninety-one thousand, two hundred".