165008793600 has 1680 divisors, whose sum is σ = 737431596000. Its totient is φ = 36415733760.

The previous prime is 165008793583. The next prime is 165008793601. The reversal of 165008793600 is 6397800561.

It is a happy number.

165008793600 is a `hidden beast` number, since 1 + 6 + 500 + 87 + 9 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165008793601) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 5689958386 + ... + 5689958414.

Almost surely, 2^165008793600 is an apocalyptic number.

165008793600 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 165008793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368715798000).

165008793600 is an abundant number, since it is smaller than the sum of its proper divisors (572422802400).

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

165008793600 is an frugal number, since it uses more digits than its factorization.

165008793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 165008793600 in words is "one hundred sixty-five billion, eight million, seven hundred ninety-three thousand, six hundred".