127140765050880 has 1152 divisors, whose sum is σ = 510984656582400. Its totient is φ = 28636653551616.

The previous prime is 127140765050869. The next prime is 127140765050911. The reversal of 127140765050880 is 88050567041721.

127140765050880 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 4 + 0 + 7 + 6 + 50 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 17626610154 + ... + 17626617366.

It is an arithmetic number, because the mean of its divisors is an integer number (443563069950).

Almost surely, 2^{127140765050880} is an apocalyptic number.

127140765050880 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 127140765050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255492328291200).

127140765050880 is an abundant number, since it is smaller than the sum of its proper divisors (383843891531520).

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

127140765050880 is a wasteful number, since it uses less digits than its factorization.

127140765050880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7649 (or 7626 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 127140765050880 in words is "one hundred twenty-seven trillion, one hundred forty billion, seven hundred sixty-five million, fifty thousand, eight hundred eighty".