16687266041600 has 648 divisors, whose sum is σ = 54937894312224. Its totient is φ = 4895244288000.

The previous prime is 16687266041599. The next prime is 16687266041603. The reversal of 16687266041600 is 614066278661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16687266041603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92063060 + ... + 92244140.

Almost surely, 2^{16687266041600} is an apocalyptic number.

16687266041600 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 16687266041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27468947156112).

16687266041600 is an abundant number, since it is smaller than the sum of its proper divisors (38250628270624).

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

16687266041600 is a wasteful number, since it uses less digits than its factorization.

16687266041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181153 (or 181123 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 16687266041600 in words is "sixteen trillion, six hundred eighty-seven billion, two hundred sixty-six million, forty-one thousand, six hundred".