127048066320 has 480 divisors, whose sum is σ = 474535342080. Its totient is φ = 28007562240.

The previous prime is 127048066279. The next prime is 127048066337. The reversal of 127048066320 is 23660840721.

It is a happy number.

It is a super-2 number, since 2×127048066320² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 205246971 + ... + 205247589.

It is an arithmetic number, because the mean of its divisors is an integer number (988615296).

Almost surely, 2^127048066320 is an apocalyptic number.

127048066320 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 127048066320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237267671040).

127048066320 is an abundant number, since it is smaller than the sum of its proper divisors (347487275760).

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

127048066320 is a wasteful number, since it uses less digits than its factorization.

127048066320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 127048066320 in words is "one hundred twenty-seven billion, forty-eight million, sixty-six thousand, three hundred twenty".