127728167581000 has 128 divisors (see below), whose sum is σ = 344271235276800. Its totient is φ = 43447691347200.

The previous prime is 127728167580989. The next prime is 127728167581163. The reversal of 127728167581000 is 185761827721.

It is a super-2 number, since 2×127728167581000² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 70949115 + ... + 72727114.

It is an arithmetic number, because the mean of its divisors is an integer number (2689619025600).

Almost surely, 2^{127728167581000} is an apocalyptic number.

127728167581000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127728167581000 is an abundant number, since it is smaller than the sum of its proper divisors (216543067695800).

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

127728167581000 is a wasteful number, since it uses less digits than its factorization.

127728167581000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143676384 (or 143676370 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 55.

The spelling of 127728167581000 in words is "one hundred twenty-seven trillion, seven hundred twenty-eight billion, one hundred sixty-seven million, five hundred eighty-one thousand".