165516162240 has 1792 divisors, whose sum is σ = 707877273600. Its totient is φ = 32115916800.

The previous prime is 165516162199. The next prime is 165516162241. The reversal of 165516162240 is 42261615561.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (165516162241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1859732116 + ... + 1859732204.

It is an arithmetic number, because the mean of its divisors is an integer number (395020800).

Almost surely, 2^165516162240 is an apocalyptic number.

165516162240 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 165516162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353938636800).

165516162240 is an abundant number, since it is smaller than the sum of its proper divisors (542361111360).

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

165516162240 is a wasteful number, since it uses less digits than its factorization.

165516162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 165516162240 in words is "one hundred sixty-five billion, five hundred sixteen million, one hundred sixty-two thousand, two hundred forty".