127680816823056 has 480 divisors, whose sum is σ = 430221157416960. Its totient is φ = 34560444441600.

The previous prime is 127680816823039. The next prime is 127680816823163. The reversal of 127680816823056 is 650328618086721.

127680816823056 is a `hidden beast` number, since 1 + 276 + 8 + 0 + 81 + 6 + 8 + 230 + 56 = 666.

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 = 127680816822984 and 127680816823002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1356657441 + ... + 1356751551.

It is an arithmetic number, because the mean of its divisors is an integer number (896294077952).

Almost surely, 2^{127680816823056} is an apocalyptic number.

127680816823056 is a gapful number since it is divisible by the number (16) 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 127680816823056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215110578708480).

127680816823056 is an abundant number, since it is smaller than the sum of its proper divisors (302540340593904).

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

127680816823056 is a wasteful number, since it uses less digits than its factorization.

127680816823056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94715 (or 94706 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 127680816823056 in words is "one hundred twenty-seven trillion, six hundred eighty billion, eight hundred sixteen million, eight hundred twenty-three thousand, fifty-six".