127716892560 has 560 divisors, whose sum is σ = 471052850688. Its totient is φ = 32136652800.

The previous prime is 127716892463. The next prime is 127716892603. The reversal of 127716892560 is 65298617721.

127716892560 is a `hidden beast` number, since 1 + 2 + 7 + 71 + 6 + 8 + 9 + 2 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 127716892497 and 127716892506.

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 111 ways as a sum of consecutive naturals, for example, 74123859 + ... + 74125581.

Almost surely, 2^127716892560 is an apocalyptic number.

127716892560 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 127716892560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235526425344).

127716892560 is an abundant number, since it is smaller than the sum of its proper divisors (343335958128).

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

127716892560 is a wasteful number, since it uses less digits than its factorization.

127716892560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 127716892560 in words is "one hundred twenty-seven billion, seven hundred sixteen million, eight hundred ninety-two thousand, five hundred sixty".