2165071616526 has 96 divisors (see below), whose sum is σ = 5394180192768. Its totient is φ = 567226108800.

The previous prime is 2165071616507. The next prime is 2165071616549. The reversal of 2165071616526 is 6256161705612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61780 + ... + 2081816.

It is an arithmetic number, because the mean of its divisors is an integer number (56189377008).

Almost surely, 2^{2165071616526} is an apocalyptic number.

2165071616526 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2165071616526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697090096384).

2165071616526 is an abundant number, since it is smaller than the sum of its proper divisors (3229108576242).

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

2165071616526 is a wasteful number, since it uses less digits than its factorization.

2165071616526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020226 (or 2020213 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 2165071616526 in words is "two trillion, one hundred sixty-five billion, seventy-one million, six hundred sixteen thousand, five hundred twenty-six".