165000201748800 has 1008 divisors, whose sum is σ = 608045246899200. Its totient is φ = 38846539264000.

The previous prime is 165000201748793. The next prime is 165000201748813. The reversal of 165000201748800 is 8847102000561.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 15279205801 + ... + 15279216599.

Almost surely, 2^{165000201748800} is an apocalyptic number.

165000201748800 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 165000201748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304022623449600).

165000201748800 is an abundant number, since it is smaller than the sum of its proper divisors (443045045150400).

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

165000201748800 is a wasteful number, since it uses less digits than its factorization.

165000201748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11060 (or 10998 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 165000201748800 in words is "one hundred sixty-five trillion, two hundred one million, seven hundred forty-eight thousand, eight hundred".