16981655961600 has 3600 divisors, whose sum is σ = 75515300044800. Its totient is φ = 3726508032000.

The previous prime is 16981655961577. The next prime is 16981655961607. The reversal of 16981655961600 is 616955618961.

16981655961600 is a `hidden beast` number, since 1 + 6 + 9 + 8 + 1 + 6 + 5 + 5 + 9 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16981655961607) 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 239 ways as a sum of consecutive naturals, for example, 214957670361 + ... + 214957670439.

Almost surely, 2^{16981655961600} is an apocalyptic number.

16981655961600 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 16981655961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37757650022400).

16981655961600 is an abundant number, since it is smaller than the sum of its proper divisors (58533644083200).

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

16981655961600 is a wasteful number, since it uses less digits than its factorization.

16981655961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 16981655961600 in words is "sixteen trillion, nine hundred eighty-one billion, six hundred fifty-five million, nine hundred sixty-one thousand, six hundred".