127406948950080 has 280 divisors, whose sum is σ = 453586402071000. Its totient is φ = 33946889011200.

The previous prime is 127406948950079. The next prime is 127406948950091. The reversal of 127406948950080 is 80059849604721.

127406948950080 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 0 + 6 + 9 + 48 + 9 + 500 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14504763654144 + 112902185295936 = 3808512^2 + 10625544^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29083546 + ... + 33176294.

Almost surely, 2^{127406948950080} is an apocalyptic number.

127406948950080 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 127406948950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226793201035500).

127406948950080 is an abundant number, since it is smaller than the sum of its proper divisors (326179453120920).

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

127406948950080 is a wasteful number, since it uses less digits than its factorization.

127406948950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4093979 (or 4093960 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 127406948950080 in words is "one hundred twenty-seven trillion, four hundred six billion, nine hundred forty-eight million, nine hundred fifty thousand, eighty".