127060879680 has 672 divisors, whose sum is σ = 533713090560. Its totient is φ = 27097804800.

The previous prime is 127060879667. The next prime is 127060879691. The reversal of 127060879680 is 86978060721.

127060879680 is a `hidden beast` number, since 1 + 27 + 0 + 608 + 7 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×127060879680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 25661205 + ... + 25666155.

Almost surely, 2^127060879680 is an apocalyptic number.

127060879680 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 127060879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266856545280).

127060879680 is an abundant number, since it is smaller than the sum of its proper divisors (406652210880).

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

127060879680 is a wasteful number, since it uses less digits than its factorization.

127060879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067 (or 5054 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 127060879680 in words is "one hundred twenty-seven billion, sixty million, eight hundred seventy-nine thousand, six hundred eighty".