127547315644716 has 672 divisors, whose sum is σ = 383209126917120. Its totient is φ = 36786246681600.

The previous prime is 127547315644687. The next prime is 127547315644733. The reversal of 127547315644716 is 617446513745721.

127547315644716 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 4 + 7 + 3 + 156 + 4 + 471 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 12476500381 + ... + 12476510603.

It is an arithmetic number, because the mean of its divisors is an integer number (570251676960).

Almost surely, 2^{127547315644716} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127547315644716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191604563458560).

127547315644716 is an abundant number, since it is smaller than the sum of its proper divisors (255661811272404).

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

127547315644716 is a wasteful number, since it uses less digits than its factorization.

127547315644716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10529 (or 10512 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 63.

The spelling of 127547315644716 in words is "one hundred twenty-seven trillion, five hundred forty-seven billion, three hundred fifteen million, six hundred forty-four thousand, seven hundred sixteen".