127255567680 has 168 divisors, whose sum is σ = 437838384672. Its totient is φ = 33924566016.

The previous prime is 127255567639. The next prime is 127255567723. The reversal of 127255567680 is 86765552721.

127255567680 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 5 + 556 + 7 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17469319 + ... + 17476601.

Almost surely, 2^127255567680 is an apocalyptic number.

127255567680 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 127255567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218919192336).

127255567680 is an abundant number, since it is smaller than the sum of its proper divisors (310582816992).

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

127255567680 is a wasteful number, since it uses less digits than its factorization.

127255567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13373 (or 13360 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 127255567680 in words is "one hundred twenty-seven billion, two hundred fifty-five million, five hundred sixty-seven thousand, six hundred eighty".