127376686080 has 1760 divisors, whose sum is σ = 577804233600. Its totient is φ = 26159874048.

The previous prime is 127376686061. The next prime is 127376686091. The reversal of 127376686080 is 80686673721.

127376686080 is a `hidden beast` number, since 1 + 27 + 3 + 7 + 6 + 6 + 8 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1431198676 + ... + 1431198764.

It is an arithmetic number, because the mean of its divisors is an integer number (328297860).

Almost surely, 2^127376686080 is an apocalyptic number.

127376686080 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 127376686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288902116800).

127376686080 is an abundant number, since it is smaller than the sum of its proper divisors (450427547520).

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

127376686080 is a wasteful number, since it uses less digits than its factorization.

127376686080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 127376686080 in words is "one hundred twenty-seven billion, three hundred seventy-six million, six hundred eighty-six thousand, eighty".