165010063680 has 2016 divisors, whose sum is σ = 777091940352. Its totient is φ = 32920473600.

The previous prime is 165010063643. The next prime is 165010063703. The reversal of 165010063680 is 86360010561.

It is a happy number.

165010063680 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 10 + 0 + 636 + 8 + 0 = 666.

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

It is a super-2 number, since 2×165010063680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 287 ways as a sum of consecutive naturals, for example, 1299291777 + ... + 1299291903.

It is an arithmetic number, because the mean of its divisors is an integer number (385462272).

Almost surely, 2^165010063680 is an apocalyptic number.

165010063680 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 165010063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388545970176).

165010063680 is an abundant number, since it is smaller than the sum of its proper divisors (612081876672).

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

165010063680 is a wasteful number, since it uses less digits than its factorization.

165010063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 165010063680 in words is "one hundred sixty-five billion, ten million, sixty-three thousand, six hundred eighty".