165318485760 has 360 divisors, whose sum is σ = 611948826720. Its totient is φ = 42563985408.

The previous prime is 165318485699. The next prime is 165318485797. The reversal of 165318485760 is 67584813561.

It is a happy number.

165318485760 is a `hidden beast` number, since 1 + 6 + 53 + 18 + 4 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 165318485697 and 165318485706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2979229 + ... + 3034211.

It is an arithmetic number, because the mean of its divisors is an integer number (1699857852).

Almost surely, 2^165318485760 is an apocalyptic number.

165318485760 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 165318485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305974413360).

165318485760 is an abundant number, since it is smaller than the sum of its proper divisors (446630340960).

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

165318485760 is an equidigital number, since it uses as much as digits as its factorization.

165318485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55045 (or 55022 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 165318485760 in words is "one hundred sixty-five billion, three hundred eighteen million, four hundred eighty-five thousand, seven hundred sixty".