127405886640513 has 48 divisors (see below), whose sum is σ = 187304374200384. Its totient is φ = 76576526167680.

The previous prime is 127405886640379. The next prime is 127405886640517. The reversal of 127405886640513 is 315046688504721.

It is not a de Polignac number, because 127405886640513 - 2²⁴ = 127405869863297 is a prime.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (127405886640517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2365430203 + ... + 2365484063.

It is an arithmetic number, because the mean of its divisors is an integer number (3902174462508).

Almost surely, 2^{127405886640513} is an apocalyptic number.

127405886640513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

127405886640513 is a deficient number, since it is larger than the sum of its proper divisors (59898487559871).

127405886640513 is a wasteful number, since it uses less digits than its factorization.

127405886640513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86766 (or 86723 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 127405886640513 in words is "one hundred twenty-seven trillion, four hundred five billion, eight hundred eighty-six million, six hundred forty thousand, five hundred thirteen".