127435448714860 has 192 divisors, whose sum is σ = 334046232696960. Its totient is φ = 40259322839040.

The previous prime is 127435448714759. The next prime is 127435448714879. The reversal of 127435448714860 is 68417844534721.

It is a junction number, because it is equal to n+sod(n) for n = 127435448714792 and 127435448714801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9516492 + ... + 18585868.

It is an arithmetic number, because the mean of its divisors is an integer number (1739824128630).

Almost surely, 2^{127435448714860} is an apocalyptic number.

127435448714860 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 127435448714860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167023116348480).

127435448714860 is an abundant number, since it is smaller than the sum of its proper divisors (206610783982100).

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

127435448714860 is a wasteful number, since it uses less digits than its factorization.

127435448714860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9069461 (or 9069425 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 64.

The spelling of 127435448714860 in words is "one hundred twenty-seven trillion, four hundred thirty-five billion, four hundred forty-eight million, seven hundred fourteen thousand, eight hundred sixty".