128662688160576 has 280 divisors, whose sum is σ = 401600932128000. Its totient is φ = 40617073299456.

The previous prime is 128662688160551. The next prime is 128662688160607. The reversal of 128662688160576 is 675061886266821.

128662688160576 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 6 + 2 + 6 + 8 + 8 + 1 + 605 + 7 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 304042705 + ... + 304465583.

Almost surely, 2^{128662688160576} is an apocalyptic number.

128662688160576 is a gapful number since it is divisible by the number (16) 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 128662688160576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200800466064000).

128662688160576 is an abundant number, since it is smaller than the sum of its proper divisors (272938243967424).

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

128662688160576 is a wasteful number, since it uses less digits than its factorization.

128662688160576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426011 (or 425992 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 128662688160576 in words is "one hundred twenty-eight trillion, six hundred sixty-two billion, six hundred eighty-eight million, one hundred sixty thousand, five hundred seventy-six".