165204748800 has 2400 divisors, whose sum is σ = 804538006272. Its totient is φ = 32487505920.

The previous prime is 165204748777. The next prime is 165204748853. The reversal of 165204748800 is 8847402561.

165204748800 is a `hidden beast` number, since 1 + 6 + 520 + 4 + 7 + 48 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×165204748800² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 1603929549 + ... + 1603929651.

Almost surely, 2^165204748800 is an apocalyptic number.

165204748800 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 165204748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402269003136).

165204748800 is an abundant number, since it is smaller than the sum of its proper divisors (639333257472).

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

165204748800 is a wasteful number, since it uses less digits than its factorization.

165204748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 165204748800 in words is "one hundred sixty-five billion, two hundred four million, seven hundred forty-eight thousand, eight hundred".