127638074850 has 192 divisors, whose sum is σ = 393758547840. Its totient is φ = 26882150400.

The previous prime is 127638074849. The next prime is 127638074903. The reversal of 127638074850 is 58470836721.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 127638074793 and 127638074802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189636 + ... + 539664.

It is an arithmetic number, because the mean of its divisors is an integer number (2050825770).

Almost surely, 2^127638074850 is an apocalyptic number.

127638074850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127638074850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196879273920).

127638074850 is an abundant number, since it is smaller than the sum of its proper divisors (266120472990).

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

127638074850 is a wasteful number, since it uses less digits than its factorization.

127638074850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350085 (or 350080 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 127638074850 in words is "one hundred twenty-seven billion, six hundred thirty-eight million, seventy-four thousand, eight hundred fifty".