127861786140750 has 384 divisors, whose sum is σ = 363571429478400. Its totient is φ = 32382826963200.

The previous prime is 127861786140667. The next prime is 127861786140769. The reversal of 127861786140750 is 57041687168721.

127861786140750 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 6 + 1 + 7 + 8 + 614 + 0 + 7 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6081984739 + ... + 6082005761.

It is an arithmetic number, because the mean of its divisors is an integer number (946800597600).

Almost surely, 2^{127861786140750} is an apocalyptic number.

127861786140750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127861786140750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181785714739200).

127861786140750 is an abundant number, since it is smaller than the sum of its proper divisors (235709643337650).

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

127861786140750 is a wasteful number, since it uses less digits than its factorization.

127861786140750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22825 (or 22812 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 127861786140750 in words is "one hundred twenty-seven trillion, eight hundred sixty-one billion, seven hundred eighty-six million, one hundred forty thousand, seven hundred fifty".