127840256691840 has 6144 divisors, whose sum is σ = 637998778368000. Its totient is φ = 23551672320000.

The previous prime is 127840256691811. The next prime is 127840256691853. The reversal of 127840256691840 is 48196652048721.

It is a happy number.

127840256691840 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 402 + 5 + 66 + 91 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 509323731715 + ... + 509323731965.

It is an arithmetic number, because the mean of its divisors is an integer number (103840947000).

Almost surely, 2^{127840256691840} is an apocalyptic number.

127840256691840 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 127840256691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318999389184000).

127840256691840 is an abundant number, since it is smaller than the sum of its proper divisors (510158521676160).

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

127840256691840 is a wasteful number, since it uses less digits than its factorization.

127840256691840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 127840256691840 in words is "one hundred twenty-seven trillion, eight hundred forty billion, two hundred fifty-six million, six hundred ninety-one thousand, eight hundred forty".