127740756948480 has 960 divisors, whose sum is σ = 523142795343168. Its totient is φ = 29594206863360.

The previous prime is 127740756948479. The next prime is 127740756948523. The reversal of 127740756948480 is 84849657047721.

127740756948480 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 4 + 0 + 7 + 5 + 69 + 484 + 80 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 127740756948399 and 127740756948408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137015100 + ... + 137944260.

Almost surely, 2^{127740756948480} is an apocalyptic number.

127740756948480 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 127740756948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261571397671584).

127740756948480 is an abundant number, since it is smaller than the sum of its proper divisors (395402038394688).

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

127740756948480 is an equidigital number, since it uses as much as digits as its factorization.

127740756948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929229 (or 929201 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 127740756948480 in words is "one hundred twenty-seven trillion, seven hundred forty billion, seven hundred fifty-six million, nine hundred forty-eight thousand, four hundred eighty".