165056348160 has 704 divisors, whose sum is σ = 652298002560. Its totient is φ = 39258685440.

The previous prime is 165056348159. The next prime is 165056348203. The reversal of 165056348160 is 61843650561.

165056348160 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 5 + 634 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3114270694 + ... + 3114270746.

Almost surely, 2^165056348160 is an apocalyptic number.

165056348160 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 165056348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326149001280).

165056348160 is an abundant number, since it is smaller than the sum of its proper divisors (487241654400).

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

165056348160 is an frugal number, since it uses more digits than its factorization.

165056348160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 165056348160 in words is "one hundred sixty-five billion, fifty-six million, three hundred forty-eight thousand, one hundred sixty".