127192028640768 has 960 divisors, whose sum is σ = 473798029985280. Its totient is φ = 33167975841792.

The previous prime is 127192028640751. The next prime is 127192028640769. The reversal of 127192028640768 is 867046820291721.

It is a happy number.

127192028640768 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 92 + 0 + 2 + 86 + 407 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127192028640769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1007582071 + ... + 1007708297.

It is an arithmetic number, because the mean of its divisors is an integer number (493539614568).

Almost surely, 2^{127192028640768} is an apocalyptic number.

127192028640768 is a gapful number since it is divisible by the number (18) 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 127192028640768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236899014992640).

127192028640768 is an abundant number, since it is smaller than the sum of its proper divisors (346606001344512).

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

127192028640768 is an equidigital number, since it uses as much as digits as its factorization.

127192028640768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126369 (or 126341 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 127192028640768 in words is "one hundred twenty-seven trillion, one hundred ninety-two billion, twenty-eight million, six hundred forty thousand, seven hundred sixty-eight".