165398849932800 has 480 divisors, whose sum is σ = 607302529257600. Its totient is φ = 39340144230400.

The previous prime is 165398849932793. The next prime is 165398849932843. The reversal of 165398849932800 is 8239948893561.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18693151 + ... + 26081249.

It is an arithmetic number, because the mean of its divisors is an integer number (1265213602620).

Almost surely, 2^{165398849932800} is an apocalyptic number.

165398849932800 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 165398849932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303651264628800).

165398849932800 is an abundant number, since it is smaller than the sum of its proper divisors (441903679324800).

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

165398849932800 is a wasteful number, since it uses less digits than its factorization.

165398849932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7388194 (or 7388173 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 75.

The spelling of 165398849932800 in words is "one hundred sixty-five trillion, three hundred ninety-eight billion, eight hundred forty-nine million, nine hundred thirty-two thousand, eight hundred".