127200081364608 has 256 divisors, whose sum is σ = 388517218467840. Its totient is φ = 36120035082240.

The previous prime is 127200081364571. The next prime is 127200081364621. The reversal of 127200081364608 is 806463180002721.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 325652241 + ... + 326042607.

It is an arithmetic number, because the mean of its divisors is an integer number (1517645384640).

Almost surely, 2^{127200081364608} 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 127200081364608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194258609233920).

127200081364608 is an abundant number, since it is smaller than the sum of its proper divisors (261317137103232).

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

127200081364608 is a wasteful number, since it uses less digits than its factorization.

127200081364608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391135 (or 391123 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 127200081364608 in words is "one hundred twenty-seven trillion, two hundred billion, eighty-one million, three hundred sixty-four thousand, six hundred eight".