127822408534856 has 128 divisors (see below), whose sum is σ = 281031966720000. Its totient is φ = 54479949652800.

The previous prime is 127822408534811. The next prime is 127822408534901. The reversal of 127822408534856 is 658435804228721.

It is an interprime number because it is at equal distance from previous prime (127822408534811) and next prime (127822408534901).

It is a junction number, because it is equal to n+sod(n) for n = 127822408534792 and 127822408534801.

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 31 ways as a sum of consecutive naturals, for example, 2137790321 + ... + 2137850111.

It is an arithmetic number, because the mean of its divisors is an integer number (2195562240000).

Almost surely, 2^{127822408534856} 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 127822408534856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140515983360000).

127822408534856 is an abundant number, since it is smaller than the sum of its proper divisors (153209558185144).

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

127822408534856 is a wasteful number, since it uses less digits than its factorization.

127822408534856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64088 (or 64070 counting only the distinct ones).

The product of its (nonzero) digits is 206438400, while the sum is 65.

The spelling of 127822408534856 in words is "one hundred twenty-seven trillion, eight hundred twenty-two billion, four hundred eight million, five hundred thirty-four thousand, eight hundred fifty-six".