127993328064 has 210 divisors, whose sum is σ = 441358065720. Its totient is φ = 36569449728.

The previous prime is 127993328033. The next prime is 127993328077. The reversal of 127993328064 is 460823399721.

127993328064 is a `hidden beast` number, since 1 + 279 + 9 + 33 + 280 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 127993328064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2077 + ... + 505955.

Almost surely, 2^127993328064 is an apocalyptic number.

127993328064 is a gapful number since it is divisible by the number (14) 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 127993328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220679032860).

127993328064 is an abundant number, since it is smaller than the sum of its proper divisors (313364737656).

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

127993328064 is an equidigital number, since it uses as much as digits as its factorization.

127993328064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503917 (or 503891 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 127993328064 in words is "one hundred twenty-seven billion, nine hundred ninety-three million, three hundred twenty-eight thousand, sixty-four".