127870768318650 has 768 divisors, whose sum is σ = 395452723691520. Its totient is φ = 26705297203200.

The previous prime is 127870768318609. The next prime is 127870768318651. The reversal of 127870768318650 is 56813867078721.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (127870768318651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22603986622 + ... + 22603992278.

It is an arithmetic number, because the mean of its divisors is an integer number (514912400640).

Almost surely, 2^{127870768318650} is an apocalyptic number.

127870768318650 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 127870768318650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197726361845760).

127870768318650 is an abundant number, since it is smaller than the sum of its proper divisors (267581955372870).

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

127870768318650 is a wasteful number, since it uses less digits than its factorization.

127870768318650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119 (or 6114 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 69.

The spelling of 127870768318650 in words is "one hundred twenty-seven trillion, eight hundred seventy billion, seven hundred sixty-eight million, three hundred eighteen thousand, six hundred fifty".