165200555520 has 2880 divisors, whose sum is σ = 841092595200. Its totient is φ = 28983951360.

The previous prime is 165200555519. The next prime is 165200555521. The reversal of 165200555520 is 25555002561.

165200555520 is a `hidden beast` number, since 1 + 6 + 52 + 0 + 0 + 55 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (165200555519) and next prime (165200555521).

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165200555521) by changing a digit.

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, 5696570866 + ... + 5696570894.

It is an arithmetic number, because the mean of its divisors is an integer number (292046040).

Almost surely, 2^165200555520 is an apocalyptic number.

165200555520 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 165200555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420546297600).

165200555520 is an abundant number, since it is smaller than the sum of its proper divisors (675892039680).

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

165200555520 is a wasteful number, since it uses less digits than its factorization.

165200555520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 165200555520 in words is "one hundred sixty-five billion, two hundred million, five hundred fifty-five thousand, five hundred twenty".