165017609640 has 480 divisors, whose sum is σ = 626749643520. Its totient is φ = 38850679296.

The previous prime is 165017609611. The next prime is 165017609671. The reversal of 165017609640 is 46906710561.

165017609640 is a `hidden beast` number, since 16 + 501 + 7 + 6 + 0 + 96 + 40 = 666.

165017609640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×165017609640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 12587329 + ... + 12600431.

It is an arithmetic number, because the mean of its divisors is an integer number (1305728424).

Almost surely, 2^165017609640 is an apocalyptic number.

165017609640 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 165017609640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313374821760).

165017609640 is an abundant number, since it is smaller than the sum of its proper divisors (461732033880).

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

165017609640 is a wasteful number, since it uses less digits than its factorization.

165017609640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13175 (or 13149 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 165017609640 in words is "one hundred sixty-five billion, seventeen million, six hundred nine thousand, six hundred forty".