165739827456 has 1152 divisors, whose sum is σ = 616457318400. Its totient is φ = 42918543360.

The previous prime is 165739827443. The next prime is 165739827467. The reversal of 165739827456 is 654728937561.

165739827456 is a `hidden beast` number, since 1 + 6 + 5 + 73 + 98 + 27 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (76204800) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 165739827393 and 165739827402.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2473728735 + ... + 2473728801.

It is an arithmetic number, because the mean of its divisors is an integer number (535119200).

Almost surely, 2^165739827456 is an apocalyptic number.

165739827456 is a gapful number since it is divisible by the number (16) 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 165739827456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308228659200).

165739827456 is an abundant number, since it is smaller than the sum of its proper divisors (450717490944).

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

165739827456 is a wasteful number, since it uses less digits than its factorization.

165739827456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 192 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 165739827456 in words is "one hundred sixty-five billion, seven hundred thirty-nine million, eight hundred twenty-seven thousand, four hundred fifty-six".