6165705365820 has 2304 divisors, whose sum is σ = 26977718476800. Its totient is φ = 1098364354560.

The previous prime is 6165705365801. The next prime is 6165705365821. The reversal of 6165705365820 is 285635075616.

It is a happy number.

6165705365820 is a `hidden beast` number, since 6 + 1 + 6 + 5 + 7 + 0 + 53 + 6 + 582 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6165705365821) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 26924477466 + ... + 26924477694.

It is an arithmetic number, because the mean of its divisors is an integer number (11709079200).

Almost surely, 2^{6165705365820} is an apocalyptic number.

6165705365820 is a gapful number since it is divisible by the number (60) 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 6165705365820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13488859238400).

6165705365820 is an abundant number, since it is smaller than the sum of its proper divisors (20812013110980).

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

6165705365820 is a wasteful number, since it uses less digits than its factorization.

6165705365820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 6165705365820 in words is "six trillion, one hundred sixty-five billion, seven hundred five million, three hundred sixty-five thousand, eight hundred twenty".