165537529920 has 672 divisors, whose sum is σ = 711269185536. Its totient is φ = 34460467200.

The previous prime is 165537529897. The next prime is 165537529931. The reversal of 165537529920 is 29925735561.

165537529920 is a `hidden beast` number, since 1 + 65 + 5 + 37 + 529 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10616530 + ... + 10632110.

It is an arithmetic number, because the mean of its divisors is an integer number (1058436288).

Almost surely, 2^165537529920 is an apocalyptic number.

165537529920 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 165537529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355634592768).

165537529920 is an abundant number, since it is smaller than the sum of its proper divisors (545731655616).

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

165537529920 is a wasteful number, since it uses less digits than its factorization.

165537529920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15659 (or 15646 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 165537529920 in words is "one hundred sixty-five billion, five hundred thirty-seven million, five hundred twenty-nine thousand, nine hundred twenty".