165339190800000 has 1728 divisors, whose sum is σ = 694970390532600. Its totient is φ = 37617592320000.

The previous prime is 165339190799983. The next prime is 165339190800019. The reversal of 165339190800000 is 8091933561.

It can be written as a sum of positive squares in 12 ways, for example, as 42294835888704 + 123044354911296 = 6503448^2 + 11092536^2 .

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 (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 40395597954 + ... + 40395602046.

Almost surely, 2^{165339190800000} is an apocalyptic number.

165339190800000 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 165339190800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347485195266300).

165339190800000 is an abundant number, since it is smaller than the sum of its proper divisors (529631199732600).

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

165339190800000 is an equidigital number, since it uses as much as digits as its factorization.

165339190800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 165339190800000 in words is "one hundred sixty-five trillion, three hundred thirty-nine billion, one hundred ninety million, eight hundred thousand".