127828193760 has 576 divisors, whose sum is σ = 456051435840. Its totient is φ = 32586301440.

The previous prime is 127828193747. The next prime is 127828193777. The reversal of 127828193760 is 67391828721.

It is a happy number.

127828193760 is a `hidden beast` number, since 1 + 278 + 281 + 9 + 37 + 60 = 666.

127828193760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 127828193697 and 127828193706.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 648873982 + ... + 648874178.

It is an arithmetic number, because the mean of its divisors is an integer number (791755965).

Almost surely, 2^127828193760 is an apocalyptic number.

127828193760 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 127828193760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228025717920).

127828193760 is an abundant number, since it is smaller than the sum of its proper divisors (328223242080).

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

127828193760 is a wasteful number, since it uses less digits than its factorization.

127828193760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 127828193760 in words is "one hundred twenty-seven billion, eight hundred twenty-eight million, one hundred ninety-three thousand, seven hundred sixty".