2009565466160 has 160 divisors (see below), whose sum is σ = 5436006930432. Its totient is φ = 676643143680.

The previous prime is 2009565466157. The next prime is 2009565466171. The reversal of 2009565466160 is 616645659002.

It is a junction number, because it is equal to n+sod(n) for n = 2009565466099 and 2009565466108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10119989 + ... + 10316651.

Almost surely, 2^{2009565466160} is an apocalyptic number.

2009565466160 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 2009565466160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718003465216).

2009565466160 is an abundant number, since it is smaller than the sum of its proper divisors (3426441464272).

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

2009565466160 is a wasteful number, since it uses less digits than its factorization.

2009565466160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197011 (or 197005 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 50.

The spelling of 2009565466160 in words is "two trillion, nine billion, five hundred sixty-five million, four hundred sixty-six thousand, one hundred sixty".