165743961600 has 1920 divisors, whose sum is σ = 736512860160. Its totient is φ = 31921274880.

The previous prime is 165743961529. The next prime is 165743961637. The reversal of 165743961600 is 6169347561.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a self number, because there is not a number n which added to its sum of digits gives 165743961600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1996915159 + ... + 1996915241.

It is an arithmetic number, because the mean of its divisors is an integer number (383600448).

Almost surely, 2^165743961600 is an apocalyptic number.

165743961600 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 165743961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368256430080).

165743961600 is an abundant number, since it is smaller than the sum of its proper divisors (570768898560).

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

165743961600 is a wasteful number, since it uses less digits than its factorization.

165743961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 165743961600 in words is "one hundred sixty-five billion, seven hundred forty-three million, nine hundred sixty-one thousand, six hundred".