127295006638080 has 544 divisors, whose sum is σ = 421882317115200. Its totient is φ = 32736307838976.

The previous prime is 127295006638013. The next prime is 127295006638091. The reversal of 127295006638080 is 80836600592721.

It is a self number, because there is not a number n which added to its sum of digits gives 127295006638080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30475220952 + ... + 30475225128.

Almost surely, 2^{127295006638080} is an apocalyptic number.

127295006638080 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 127295006638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210941158557600).

127295006638080 is an abundant number, since it is smaller than the sum of its proper divisors (294587310477120).

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

127295006638080 is an equidigital number, since it uses as much as digits as its factorization.

127295006638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315 (or 5285 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 127295006638080 in words is "one hundred twenty-seven trillion, two hundred ninety-five billion, six million, six hundred thirty-eight thousand, eighty".