2065960345680 has 1600 divisors, whose sum is σ = 9396949985280. Its totient is φ = 408109363200.

The previous prime is 2065960345667. The next prime is 2065960345781. The reversal of 2065960345680 is 865430695602.

2065960345680 is a `hidden beast` number, since 2 + 0 + 6 + 59 + 60 + 3 + 456 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 969478215 + ... + 969480345.

Almost surely, 2^{2065960345680} is an apocalyptic number.

2065960345680 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 2065960345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698474992640).

2065960345680 is an abundant number, since it is smaller than the sum of its proper divisors (7330989639600).

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

2065960345680 is a wasteful number, since it uses less digits than its factorization.

2065960345680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 2065960345680 in words is "two trillion, sixty-five billion, nine hundred sixty million, three hundred forty-five thousand, six hundred eighty".