127780906050 has 168 divisors, whose sum is σ = 407253059136. Its totient is φ = 29207005920.

The previous prime is 127780906039. The next prime is 127780906051. The reversal of 127780906050 is 50609087721.

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

It is a junction number, because it is equal to n+sod(n) for n = 127780905987 and 127780906005.

It is not an unprimeable number, because it can be changed into a prime (127780906051) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4747 + ... + 505553.

It is an arithmetic number, because the mean of its divisors is an integer number (2424125352).

Almost surely, 2^127780906050 is an apocalyptic number.

127780906050 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 127780906050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203626529568).

127780906050 is an abundant number, since it is smaller than the sum of its proper divisors (279472153086).

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

127780906050 is an equidigital number, since it uses as much as digits as its factorization.

127780906050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500844 (or 500824 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 127780906050 in words is "one hundred twenty-seven billion, seven hundred eighty million, nine hundred six thousand, fifty".