127450661760 has 1024 divisors, whose sum is σ = 494292326400. Its totient is φ = 31334916096.

The previous prime is 127450661759. The next prime is 127450661791. The reversal of 127450661760 is 67166054721.

127450661760 is a `hidden beast` number, since 1 + 2 + 74 + 506 + 6 + 1 + 76 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 1191127627 + ... + 1191127733.

It is an arithmetic number, because the mean of its divisors is an integer number (482707350).

Almost surely, 2^127450661760 is an apocalyptic number.

127450661760 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 127450661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247146163200).

127450661760 is an abundant number, since it is smaller than the sum of its proper divisors (366841664640).

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

127450661760 is an equidigital number, since it uses as much as digits as its factorization.

127450661760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 127450661760 in words is "one hundred twenty-seven billion, four hundred fifty million, six hundred sixty-one thousand, seven hundred sixty".