165630009600 has 864 divisors, whose sum is σ = 671557017600. Its totient is φ = 39608524800.

The previous prime is 165630009569. The next prime is 165630009619. The reversal of 165630009600 is 6900036561.

165630009600 is a `hidden beast` number, since 1 + 6 + 563 + 0 + 0 + 0 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×165630009600³ (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150162649 + ... + 150163751.

Almost surely, 2^165630009600 is an apocalyptic number.

165630009600 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 165630009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335778508800).

165630009600 is an abundant number, since it is smaller than the sum of its proper divisors (505927008000).

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

165630009600 is a wasteful number, since it uses less digits than its factorization.

165630009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 165630009600 in words is "one hundred sixty-five billion, six hundred thirty million, nine thousand, six hundred".