2006165659680 has 3024 divisors, whose sum is σ = 9377709997824. Its totient is φ = 403510947840.

The previous prime is 2006165659661. The next prime is 2006165659703. The reversal of 2006165659680 is 869565616002.

2006165659680 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 16 + 565 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 29942771007 + ... + 29942771073.

It is an arithmetic number, because the mean of its divisors is an integer number (3101094576).

Almost surely, 2^{2006165659680} is an apocalyptic number.

2006165659680 is a gapful number since it is divisible by the number (20) 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 2006165659680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688854998912).

2006165659680 is an abundant number, since it is smaller than the sum of its proper divisors (7371544338144).

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

2006165659680 is a wasteful number, since it uses less digits than its factorization.

2006165659680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 2006165659680 in words is "two trillion, six billion, one hundred sixty-five million, six hundred fifty-nine thousand, six hundred eighty".