127139020606080 has 4096 divisors, whose sum is σ = 568860364800000. Its totient is φ = 26743714873344.

The previous prime is 127139020606021. The next prime is 127139020606139. The reversal of 127139020606080 is 80606020931721.

127139020606080 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 39 + 0 + 2 + 0 + 6 + 0 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (127139020606021) and next prime (127139020606139).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1125124076104 + ... + 1125124076216.

It is an arithmetic number, because the mean of its divisors is an integer number (138881925000).

Almost surely, 2^{127139020606080} is an apocalyptic number.

127139020606080 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 127139020606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284430182400000).

127139020606080 is an abundant number, since it is smaller than the sum of its proper divisors (441721344193920).

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

127139020606080 is a wasteful number, since it uses less digits than its factorization.

127139020606080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 127139020606080 in words is "one hundred twenty-seven trillion, one hundred thirty-nine billion, twenty million, six hundred six thousand, eighty".