127775497006080 has 4224 divisors, whose sum is σ = 615673894477824. Its totient is φ = 24594953011200.

The previous prime is 127775497005943. The next prime is 127775497006139. The reversal of 127775497006080 is 80600794577721.

127775497006080 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 7 + 5 + 497 + 0 + 0 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

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

It is a junction number, because it is equal to n+sod(n) for n = 127775497005999 and 127775497006017.

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 383 ways as a sum of consecutive naturals, for example, 109116563895 + ... + 109116565065.

Almost surely, 2^{127775497006080} is an apocalyptic number.

127775497006080 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 127775497006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307836947238912).

127775497006080 is an abundant number, since it is smaller than the sum of its proper divisors (487898397471744).

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

127775497006080 is a wasteful number, since it uses less digits than its factorization.

127775497006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 127775497006080 in words is "one hundred twenty-seven trillion, seven hundred seventy-five billion, four hundred ninety-seven million, six thousand, eighty".