127743140880 has 320 divisors, whose sum is σ = 457696419840. Its totient is φ = 32712076800.

The previous prime is 127743140843. The next prime is 127743140923. The reversal of 127743140880 is 88041347721.

127743140880 is a `hidden beast` number, since 127 + 7 + 43 + 1 + 408 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 8764479 + ... + 8779041.

It is an arithmetic number, because the mean of its divisors is an integer number (1430301312).

Almost surely, 2^127743140880 is an apocalyptic number.

127743140880 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 127743140880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228848209920).

127743140880 is an abundant number, since it is smaller than the sum of its proper divisors (329953278960).

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

127743140880 is a wasteful number, since it uses less digits than its factorization.

127743140880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14747 (or 14735 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 127743140880 in words is "one hundred twenty-seven billion, seven hundred forty-three million, one hundred forty thousand, eight hundred eighty".