2065160225600 has 84 divisors (see below), whose sum is σ = 5205526140108. Its totient is φ = 805916160000.

The previous prime is 2065160225599. The next prime is 2065160225603. The reversal of 2065160225600 is 65220615602.

It can be written as a sum of positive squares in 6 ways, for example, as 974990357056 + 1090169868544 = 987416^2 + 1044112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2065160225603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15674951 + ... + 15806150.

It is an arithmetic number, because the mean of its divisors is an integer number (61970549287).

Almost surely, 2^{2065160225600} is an apocalyptic number.

2065160225600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2065160225600 is an abundant number, since it is smaller than the sum of its proper divisors (3140365914508).

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

2065160225600 is a wasteful number, since it uses less digits than its factorization.

2065160225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31481164 (or 31481149 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 2065160225600 in words is "two trillion, sixty-five billion, one hundred sixty million, two hundred twenty-five thousand, six hundred".