2165055510500 has 96 divisors (see below), whose sum is σ = 5009751452160. Its totient is φ = 814571097600.

The previous prime is 2165055510491. The next prime is 2165055510511. The reversal of 2165055510500 is 50155505612.

It is a happy number.

It is a super-2 number, since 2×2165055510500² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13682837 + ... + 13840163.

It is an arithmetic number, because the mean of its divisors is an integer number (52184910960).

Almost surely, 2^{2165055510500} is an apocalyptic number.

2165055510500 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 2165055510500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504875726080).

2165055510500 is an abundant number, since it is smaller than the sum of its proper divisors (2844695941660).

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

2165055510500 is a wasteful number, since it uses less digits than its factorization.

2165055510500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158982 (or 158970 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 35.

The spelling of 2165055510500 in words is "two trillion, one hundred sixty-five billion, fifty-five million, five hundred ten thousand, five hundred".