165441158255520 has 2304 divisors, whose sum is σ = 743596958522880. Its totient is φ = 34105415565312.

The previous prime is 165441158255497. The next prime is 165441158255543. The reversal of 165441158255520 is 25552851144561.

165441158255520 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 4 + 1 + 1 + 5 + 82 + 5 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (165441158255497) and next prime (165441158255543).

It is a super-2 number, since 2×165441158255520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8201108154 + ... + 8201128326.

It is an arithmetic number, because the mean of its divisors is an integer number (322741735470).

Almost surely, 2^{165441158255520} is an apocalyptic number.

165441158255520 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 165441158255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371798479261440).

165441158255520 is an abundant number, since it is smaller than the sum of its proper divisors (578155800267360).

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

165441158255520 is a wasteful number, since it uses less digits than its factorization.

165441158255520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20324 (or 20303 counting only the distinct ones).

The product of its (nonzero) digits is 9600000, while the sum is 54.

The spelling of 165441158255520 in words is "one hundred sixty-five trillion, four hundred forty-one billion, one hundred fifty-eight million, two hundred fifty-five thousand, five hundred twenty".