127876546560 has 960 divisors, whose sum is σ = 502042867200. Its totient is φ = 27745320960.

The previous prime is 127876546463. The next prime is 127876546649. The reversal of 127876546560 is 65645678721.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×127876546560² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127876546560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3118940140 + ... + 3118940180.

It is an arithmetic number, because the mean of its divisors is an integer number (522961320).

Almost surely, 2^127876546560 is an apocalyptic number.

127876546560 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 127876546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251021433600).

127876546560 is an abundant number, since it is smaller than the sum of its proper divisors (374166320640).

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

127876546560 is an frugal number, since it uses more digits than its factorization.

127876546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 127876546560 in words is "one hundred twenty-seven billion, eight hundred seventy-six million, five hundred forty-six thousand, five hundred sixty".