6128765000127 has 64 divisors (see below), whose sum is σ = 11324585425920. Its totient is φ = 3182508403200.

The previous prime is 6128765000081. The next prime is 6128765000143. The reversal of 6128765000127 is 7210005678216.

6128765000127 is a `hidden beast` number, since 6 + 12 + 8 + 7 + 6 + 500 + 0 + 127 = 666.

It is not a de Polignac number, because 6128765000127 - 2⁷ = 6128764999999 is a prime.

It is a super-2 number, since 2×6128765000127² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6128765000927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4656483 + ... + 5825835.

It is an arithmetic number, because the mean of its divisors is an integer number (176946647280).

Almost surely, 2^{6128765000127} is an apocalyptic number.

6128765000127 is a deficient number, since it is larger than the sum of its proper divisors (5195820425793).

6128765000127 is a wasteful number, since it uses less digits than its factorization.

6128765000127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171901 (or 1171895 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 6128765000127 in words is "six trillion, one hundred twenty-eight billion, seven hundred sixty-five million, one hundred twenty-seven", and thus it is an aban number.