163128543957120 has 512 divisors, whose sum is σ = 656567080058880. Its totient is φ = 33567407013888.

The previous prime is 163128543957031. The next prime is 163128543957139. The reversal of 163128543957120 is 21759345821361.

It is a super-4 number, since 4×163128543957120⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 63 ways as a sum of consecutive naturals, for example, 10266112 + ... + 20776191.

It is an arithmetic number, because the mean of its divisors is an integer number (1282357578240).

It is a 2-persistent number, because it is pandigital, and so is 2⋅163128543957120 = 326257087914240, but 3⋅163128543957120 = 489385631871360 is not.

Almost surely, 2^{163128543957120} is an apocalyptic number.

163128543957120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

163128543957120 is an abundant number, since it is smaller than the sum of its proper divisors (493438536101760).

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

163128543957120 is a wasteful number, since it uses less digits than its factorization.

163128543957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31042372 (or 31042360 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 163128543957120 in words is "one hundred sixty-three trillion, one hundred twenty-eight billion, five hundred forty-three million, nine hundred fifty-seven thousand, one hundred twenty".