16685222400 has 1800 divisors, whose sum is σ = 81657169440. Its totient is φ = 3284582400.

The previous prime is 16685222387. The next prime is 16685222563. The reversal of 16685222400 is 422258661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 878169591 + ... + 878169609.

Almost surely, 2^16685222400 is an apocalyptic number.

16685222400 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 16685222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40828584720).

16685222400 is an abundant number, since it is smaller than the sum of its proper divisors (64971947040).

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

16685222400 is a wasteful number, since it uses less digits than its factorization.

16685222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 16685222400 in words is "sixteen billion, six hundred eighty-five million, two hundred twenty-two thousand, four hundred".