16685040960 has 1008 divisors, whose sum is σ = 72093490560. Its totient is φ = 3657830400.

The previous prime is 16685040959. The next prime is 16685040991. The reversal of 16685040960 is 6904058661.

16685040960 is a `hidden beast` number, since 166 + 85 + 0 + 409 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 110496885 + ... + 110497035.

It is an arithmetic number, because the mean of its divisors is an integer number (71521320).

Almost surely, 2^16685040960 is an apocalyptic number.

16685040960 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 16685040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36046745280).

16685040960 is an abundant number, since it is smaller than the sum of its proper divisors (55408449600).

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

16685040960 is a wasteful number, since it uses less digits than its factorization.

16685040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 16685040960 in words is "sixteen billion, six hundred eighty-five million, forty thousand, nine hundred sixty".