168390375049728 has 960 divisors, whose sum is σ = 553274845643520. Its totient is φ = 48912969498624.

The previous prime is 168390375049709. The next prime is 168390375049789. The reversal of 168390375049728 is 827940573093861.

168390375049728 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 9 + 0 + 3 + 7 + 504 + 97 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97730919075 + ... + 97730920797.

It is an arithmetic number, because the mean of its divisors is an integer number (576327964212).

It is a 1-persistent number, because it is pandigital, but 2⋅168390375049728 = 336780750099456 is not.

Almost surely, 2^{168390375049728} is an apocalyptic number.

168390375049728 is a gapful number since it is divisible by the number (18) 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 168390375049728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276637422821760).

168390375049728 is an abundant number, since it is smaller than the sum of its proper divisors (384884470593792).

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

168390375049728 is a wasteful number, since it uses less digits than its factorization.

168390375049728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 168390375049728 in words is "one hundred sixty-eight trillion, three hundred ninety billion, three hundred seventy-five million, forty-nine thousand, seven hundred twenty-eight".