128162159046720 has 1120 divisors, whose sum is σ = 504156735802368. Its totient is φ = 30739778961408.

The previous prime is 128162159046673. The next prime is 128162159046739. The reversal of 128162159046720 is 27640951261821.

128162159046720 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 6 + 2 + 1 + 590 + 46 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 12536643529 + ... + 12536653751.

Almost surely, 2^{128162159046720} is an apocalyptic number.

128162159046720 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 128162159046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252078367901184).

128162159046720 is an abundant number, since it is smaller than the sum of its proper divisors (375994576755648).

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

128162159046720 is a wasteful number, since it uses less digits than its factorization.

128162159046720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11529 (or 11510 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 128162159046720 in words is "one hundred twenty-eight trillion, one hundred sixty-two billion, one hundred fifty-nine million, forty-six thousand, seven hundred twenty".