165017599483680 has 192 divisors, whose sum is σ = 578265096124800. Its totient is φ = 43951093355520.

The previous prime is 165017599483673. The next prime is 165017599483783. The reversal of 165017599483680 is 86384995710561.

165017599483680 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 17 + 59 + 9 + 483 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 165017599483599 and 165017599483608.

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, 19716690 + ... + 26810129.

It is an arithmetic number, because the mean of its divisors is an integer number (3011797375650).

Almost surely, 2^{165017599483680} is an apocalyptic number.

165017599483680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165017599483680 is an abundant number, since it is smaller than the sum of its proper divisors (413247496641120).

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

165017599483680 is a wasteful number, since it uses less digits than its factorization.

165017599483680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46527664 (or 46527650 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 165017599483680 in words is "one hundred sixty-five trillion, seventeen billion, five hundred ninety-nine million, four hundred eighty-three thousand, six hundred eighty".