165536071680 has 640 divisors, whose sum is σ = 631359590400. Its totient is φ = 36238786560.

The previous prime is 165536071667. The next prime is 165536071691. The reversal of 165536071680 is 86170635561.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 1706557392 + ... + 1706557488.

It is an arithmetic number, because the mean of its divisors is an integer number (986499360).

Almost surely, 2^165536071680 is an apocalyptic number.

165536071680 is a gapful number since it is divisible by the number (10) 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 165536071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315679795200).

165536071680 is an abundant number, since it is smaller than the sum of its proper divisors (465823518720).

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

165536071680 is an frugal number, since it uses more digits than its factorization.

165536071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 145 counting only the distinct ones).

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

The spelling of 165536071680 in words is "one hundred sixty-five billion, five hundred thirty-six million, seventy-one thousand, six hundred eighty".