127399352064 has 216 divisors, whose sum is σ = 365355352320. Its totient is φ = 39284029440.

The previous prime is 127399352063. The next prime is 127399352081. The reversal of 127399352064 is 460253993721.

127399352064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 127399351998 and 127399352016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127399352063) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 295589929 + ... + 295590359.

Almost surely, 2^127399352064 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 127399352064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182677676160).

127399352064 is an abundant number, since it is smaller than the sum of its proper divisors (237956000256).

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

127399352064 is an frugal number, since it uses more digits than its factorization.

127399352064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 127399352064 in words is "one hundred twenty-seven billion, three hundred ninety-nine million, three hundred fifty-two thousand, sixty-four".