165424588560 has 720 divisors, whose sum is σ = 700570660608. Its totient is φ = 34241771520.

The previous prime is 165424588489. The next prime is 165424588577. The reversal of 165424588560 is 65885424561.

165424588560 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 2 + 4 + 588 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 165424588497 and 165424588506.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 296991802 + ... + 296992358.

Almost surely, 2^165424588560 is an apocalyptic number.

165424588560 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 165424588560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350285330304).

165424588560 is an abundant number, since it is smaller than the sum of its proper divisors (535146072048).

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

165424588560 is a wasteful number, since it uses less digits than its factorization.

165424588560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 165424588560 in words is "one hundred sixty-five billion, four hundred twenty-four million, five hundred eighty-eight thousand, five hundred sixty".