165100867414560 has 2016 divisors, whose sum is σ = 754315591587264. Its totient is φ = 33743485440000.

The previous prime is 165100867414523. The next prime is 165100867414577. The reversal of 165100867414560 is 65414768001561.

165100867414560 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 0 + 0 + 8 + 6 + 74 + 1 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 = 165100867414497 and 165100867414506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3834985035 + ... + 3835028085.

It is an arithmetic number, because the mean of its divisors is an integer number (374164479954).

Almost surely, 2^{165100867414560} is an apocalyptic number.

165100867414560 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 165100867414560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377157795793632).

165100867414560 is an abundant number, since it is smaller than the sum of its proper divisors (589214724172704).

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

165100867414560 is a wasteful number, since it uses less digits than its factorization.

165100867414560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43170 (or 43140 counting only the distinct ones).

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

The spelling of 165100867414560 in words is "one hundred sixty-five trillion, one hundred billion, eight hundred sixty-seven million, four hundred fourteen thousand, five hundred sixty".