127782545256000 has 1008 divisors, whose sum is σ = 480059694681840. Its totient is φ = 32406906470400.

The previous prime is 127782545255923. The next prime is 127782545256031. The reversal of 127782545256000 is 652545287721.

It is a happy number.

127782545256000 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 8 + 2 + 5 + 4 + 5 + 25 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 28004501957184 + 99778043298816 = 5291928^2 + 9988896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9373025184 + ... + 9373038816.

It is an arithmetic number, because the mean of its divisors is an integer number (476249697105).

Almost surely, 2^{127782545256000} is an apocalyptic number.

127782545256000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127782545256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240029847340920).

127782545256000 is an abundant number, since it is smaller than the sum of its proper divisors (352277149425840).

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

127782545256000 is a wasteful number, since it uses less digits than its factorization.

127782545256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13829 (or 13739 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 127782545256000 in words is "one hundred twenty-seven trillion, seven hundred eighty-two billion, five hundred forty-five million, two hundred fifty-six thousand".