165798415296 has 560 divisors, whose sum is σ = 544360608000. Its totient is φ = 49662885888.

The previous prime is 165798415259. The next prime is 165798415301. The reversal of 165798415296 is 692514897561.

165798415296 is a `hidden beast` number, since 1 + 6 + 579 + 8 + 4 + 1 + 52 + 9 + 6 = 666.

It is a super-2 number, since 2×165798415296² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 369261280 + ... + 369261728.

Almost surely, 2^165798415296 is an apocalyptic number.

165798415296 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 165798415296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272180304000).

165798415296 is an abundant number, since it is smaller than the sum of its proper divisors (378562192704).

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

165798415296 is a wasteful number, since it uses less digits than its factorization.

165798415296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 659 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 165798415296 in words is "one hundred sixty-five billion, seven hundred ninety-eight million, four hundred fifteen thousand, two hundred ninety-six".