165258539663616 has 1152 divisors, whose sum is σ = 603411970129920. Its totient is φ = 44087098245120.

The previous prime is 165258539663543. The next prime is 165258539663617. The reversal of 165258539663616 is 616366935852561.

165258539663616 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 58 + 539 + 6 + 6 + 36 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (165258539663617) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8461335771 + ... + 8461355301.

It is an arithmetic number, because the mean of its divisors is an integer number (523795112960).

Almost surely, 2^{165258539663616} is an apocalyptic number.

165258539663616 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 165258539663616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301705985064960).

165258539663616 is an abundant number, since it is smaller than the sum of its proper divisors (438153430466304).

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

165258539663616 is an equidigital number, since it uses as much as digits as its factorization.

165258539663616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19719 (or 19687 counting only the distinct ones).

The product of its digits is 1259712000, while the sum is 72.

The spelling of 165258539663616 in words is "one hundred sixty-five trillion, two hundred fifty-eight billion, five hundred thirty-nine million, six hundred sixty-three thousand, six hundred sixteen".